1.09x-5(2x-8)=1.43(x+3)-7

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Solution for 1.09x-5(2x-8)=1.43(x+3)-7 equation: 


Simplifying
1.09x + -5(2x + -8) = 1.43(x + 3) + -7

Reorder the terms:
1.09x + -5(-8 + 2x) = 1.43(x + 3) + -7
1.09x + (-8 * -5 + 2x * -5) = 1.43(x + 3) + -7
1.09x + (40 + -10x) = 1.43(x + 3) + -7

Reorder the terms:
40 + 1.09x + -10x = 1.43(x + 3) + -7

Combine like terms: 1.09x + -10x = -8.91x
40 + -8.91x = 1.43(x + 3) + -7

Reorder the terms:
40 + -8.91x = 1.43(3 + x) + -7
40 + -8.91x = (3 * 1.43 + x * 1.43) + -7
40 + -8.91x = (4.29 + 1.43x) + -7

Reorder the terms:
40 + -8.91x = 4.29 + -7 + 1.43x

Combine like terms: 4.29 + -7 = -2.71
40 + -8.91x = -2.71 + 1.43x

Solving
40 + -8.91x = -2.71 + 1.43x

Solving for variable 'x'.

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

Add '-1.43x' to each side of the equation.
40 + -8.91x + -1.43x = -2.71 + 1.43x + -1.43x

Combine like terms: -8.91x + -1.43x = -10.34x
40 + -10.34x = -2.71 + 1.43x + -1.43x

Combine like terms: 1.43x + -1.43x = 0.00
40 + -10.34x = -2.71 + 0.00
40 + -10.34x = -2.71

Add '-40' to each side of the equation.
40 + -40 + -10.34x = -2.71 + -40

Combine like terms: 40 + -40 = 0
0 + -10.34x = -2.71 + -40
-10.34x = -2.71 + -40

Combine like terms: -2.71 + -40 = -42.71
-10.34x = -42.71

Divide each side by '-10.34'.
x = 4.130560928

Simplifying
x = 4.130560928

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