13x+2-(x-3)=x-5-3(x+12)+4x

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Solution for 13x+2-(x-3)=x-5-3(x+12)+4x equation:


Simplifying
13x + 2 + -1(x + -3) = x + -5 + -3(x + 12) + 4x

Reorder the terms:
13x + 2 + -1(-3 + x) = x + -5 + -3(x + 12) + 4x
13x + 2 + (-3 * -1 + x * -1) = x + -5 + -3(x + 12) + 4x
13x + 2 + (3 + -1x) = x + -5 + -3(x + 12) + 4x

Reorder the terms:
2 + 3 + 13x + -1x = x + -5 + -3(x + 12) + 4x

Combine like terms: 2 + 3 = 5
5 + 13x + -1x = x + -5 + -3(x + 12) + 4x

Combine like terms: 13x + -1x = 12x
5 + 12x = x + -5 + -3(x + 12) + 4x

Reorder the terms:
5 + 12x = x + -5 + -3(12 + x) + 4x
5 + 12x = x + -5 + (12 * -3 + x * -3) + 4x
5 + 12x = x + -5 + (-36 + -3x) + 4x

Reorder the terms:
5 + 12x = -5 + -36 + x + -3x + 4x

Combine like terms: -5 + -36 = -41
5 + 12x = -41 + x + -3x + 4x

Combine like terms: x + -3x = -2x
5 + 12x = -41 + -2x + 4x

Combine like terms: -2x + 4x = 2x
5 + 12x = -41 + 2x

Solving
5 + 12x = -41 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
5 + 12x + -2x = -41 + 2x + -2x

Combine like terms: 12x + -2x = 10x
5 + 10x = -41 + 2x + -2x

Combine like terms: 2x + -2x = 0
5 + 10x = -41 + 0
5 + 10x = -41

Add '-5' to each side of the equation.
5 + -5 + 10x = -41 + -5

Combine like terms: 5 + -5 = 0
0 + 10x = -41 + -5
10x = -41 + -5

Combine like terms: -41 + -5 = -46
10x = -46

Divide each side by '10'.
x = -4.6

Simplifying
x = -4.6

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