1.30x-(x-2.30)(3.1x-5.40)-2.82=4.60-(3.10x-1.20)(x-5.30)-4.30x

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Solution for 1.30x-(x-2.30)(3.1x-5.40)-2.82=4.60-(3.10x-1.20)(x-5.30)-4.30x equation: 


Simplifying
1.30x + -1(x + -2.30)(3.1x + -5.40) + -2.82 = 4.60 + -1(3.10x + -1.20)(x + -5.30) + -4.30x

Reorder the terms:
1.30x + -1(-2.30 + x)(3.1x + -5.40) + -2.82 = 4.60 + -1(3.10x + -1.20)(x + -5.30) + -4.30x

Reorder the terms:
1.30x + -1(-2.30 + x)(-5.40 + 3.1x) + -2.82 = 4.60 + -1(3.10x + -1.20)(x + -5.30) + -4.30x

Multiply (-2.30 + x) * (-5.40 + 3.1x)
1.30x + -1(-2.30(-5.40 + 3.1x) + x(-5.40 + 3.1x)) + -2.82 = 4.60 + -1(3.10x + -1.20)(x + -5.30) + -4.30x
1.30x + -1((-5.40 * -2.30 + 3.1x * -2.30) + x(-5.40 + 3.1x)) + -2.82 = 4.60 + -1(3.10x + -1.20)(x + -5.30) + -4.30x
1.30x + -1((12.42 + -7.13x) + x(-5.40 + 3.1x)) + -2.82 = 4.60 + -1(3.10x + -1.20)(x + -5.30) + -4.30x
1.30x + -1(12.42 + -7.13x + (-5.40 * x + 3.1x * x)) + -2.82 = 4.60 + -1(3.10x + -1.20)(x + -5.30) + -4.30x
1.30x + -1(12.42 + -7.13x + (-5.40x + 3.1x2)) + -2.82 = 4.60 + -1(3.10x + -1.20)(x + -5.30) + -4.30x

Combine like terms: -7.13x + -5.40x = -12.53x
1.30x + -1(12.42 + -12.53x + 3.1x2) + -2.82 = 4.60 + -1(3.10x + -1.20)(x + -5.30) + -4.30x
1.30x + (12.42 * -1 + -12.53x * -1 + 3.1x2 * -1) + -2.82 = 4.60 + -1(3.10x + -1.20)(x + -5.30) + -4.30x
1.30x + (-12.42 + 12.53x + -3.1x2) + -2.82 = 4.60 + -1(3.10x + -1.20)(x + -5.30) + -4.30x

Reorder the terms:
-12.42 + -2.82 + 1.30x + 12.53x + -3.1x2 = 4.60 + -1(3.10x + -1.20)(x + -5.30) + -4.30x

Combine like terms: -12.42 + -2.82 = -15.24
-15.24 + 1.30x + 12.53x + -3.1x2 = 4.60 + -1(3.10x + -1.20)(x + -5.30) + -4.30x

Combine like terms: 1.30x + 12.53x = 13.83x
-15.24 + 13.83x + -3.1x2 = 4.60 + -1(3.10x + -1.20)(x + -5.30) + -4.30x

Reorder the terms:
-15.24 + 13.83x + -3.1x2 = 4.60 + -1(-1.20 + 3.10x)(x + -5.30) + -4.30x

Reorder the terms:
-15.24 + 13.83x + -3.1x2 = 4.60 + -1(-1.20 + 3.10x)(-5.30 + x) + -4.30x

Multiply (-1.20 + 3.10x) * (-5.30 + x)
-15.24 + 13.83x + -3.1x2 = 4.60 + -1(-1.20(-5.30 + x) + 3.10x * (-5.30 + x)) + -4.30x
-15.24 + 13.83x + -3.1x2 = 4.60 + -1((-5.30 * -1.20 + x * -1.20) + 3.10x * (-5.30 + x)) + -4.30x
-15.24 + 13.83x + -3.1x2 = 4.60 + -1((6.36 + -1.20x) + 3.10x * (-5.30 + x)) + -4.30x
-15.24 + 13.83x + -3.1x2 = 4.60 + -1(6.36 + -1.20x + (-5.30 * 3.10x + x * 3.10x)) + -4.30x
-15.24 + 13.83x + -3.1x2 = 4.60 + -1(6.36 + -1.20x + (-16.43x + 3.10x2)) + -4.30x

Combine like terms: -1.20x + -16.43x = -17.63x
-15.24 + 13.83x + -3.1x2 = 4.60 + -1(6.36 + -17.63x + 3.10x2) + -4.30x
-15.24 + 13.83x + -3.1x2 = 4.60 + (6.36 * -1 + -17.63x * -1 + 3.10x2 * -1) + -4.30x
-15.24 + 13.83x + -3.1x2 = 4.60 + (-6.36 + 17.63x + -3.1x2) + -4.30x

Reorder the terms:
-15.24 + 13.83x + -3.1x2 = 4.60 + -6.36 + 17.63x + -4.30x + -3.1x2

Combine like terms: 4.60 + -6.36 = -1.76
-15.24 + 13.83x + -3.1x2 = -1.76 + 17.63x + -4.30x + -3.1x2

Combine like terms: 17.63x + -4.30x = 13.33x
-15.24 + 13.83x + -3.1x2 = -1.76 + 13.33x + -3.1x2

Add '3.1x2' to each side of the equation.
-15.24 + 13.83x + -3.1x2 + 3.1x2 = -1.76 + 13.33x + -3.1x2 + 3.1x2

Combine like terms: -3.1x2 + 3.1x2 = 0.0
-15.24 + 13.83x + 0.0 = -1.76 + 13.33x + -3.1x2 + 3.1x2
-15.24 + 13.83x = -1.76 + 13.33x + -3.1x2 + 3.1x2

Combine like terms: -3.1x2 + 3.1x2 = 0.0
-15.24 + 13.83x = -1.76 + 13.33x + 0.0
-15.24 + 13.83x = -1.76 + 13.33x

Solving
-15.24 + 13.83x = -1.76 + 13.33x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-13.33x' to each side of the equation.
-15.24 + 13.83x + -13.33x = -1.76 + 13.33x + -13.33x

Combine like terms: 13.83x + -13.33x = 0.5x
-15.24 + 0.5x = -1.76 + 13.33x + -13.33x

Combine like terms: 13.33x + -13.33x = 0.00
-15.24 + 0.5x = -1.76 + 0.00
-15.24 + 0.5x = -1.76

Add '15.24' to each side of the equation.
-15.24 + 15.24 + 0.5x = -1.76 + 15.24

Combine like terms: -15.24 + 15.24 = 0.00
0.00 + 0.5x = -1.76 + 15.24
0.5x = -1.76 + 15.24

Combine like terms: -1.76 + 15.24 = 13.48
0.5x = 13.48

Divide each side by '0.5'.
x = 26.96

Simplifying
x = 26.96

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