-7(2x-8)+4x-18=-12+8(-3x+10)+15-x

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Solution for -7(2x-8)+4x-18=-12+8(-3x+10)+15-x equation:


Simplifying
-7(2x + -8) + 4x + -18 = -12 + 8(-3x + 10) + 15 + -1x

Reorder the terms:
-7(-8 + 2x) + 4x + -18 = -12 + 8(-3x + 10) + 15 + -1x
(-8 * -7 + 2x * -7) + 4x + -18 = -12 + 8(-3x + 10) + 15 + -1x
(56 + -14x) + 4x + -18 = -12 + 8(-3x + 10) + 15 + -1x

Reorder the terms:
56 + -18 + -14x + 4x = -12 + 8(-3x + 10) + 15 + -1x

Combine like terms: 56 + -18 = 38
38 + -14x + 4x = -12 + 8(-3x + 10) + 15 + -1x

Combine like terms: -14x + 4x = -10x
38 + -10x = -12 + 8(-3x + 10) + 15 + -1x

Reorder the terms:
38 + -10x = -12 + 8(10 + -3x) + 15 + -1x
38 + -10x = -12 + (10 * 8 + -3x * 8) + 15 + -1x
38 + -10x = -12 + (80 + -24x) + 15 + -1x

Reorder the terms:
38 + -10x = -12 + 80 + 15 + -24x + -1x

Combine like terms: -12 + 80 = 68
38 + -10x = 68 + 15 + -24x + -1x

Combine like terms: 68 + 15 = 83
38 + -10x = 83 + -24x + -1x

Combine like terms: -24x + -1x = -25x
38 + -10x = 83 + -25x

Solving
38 + -10x = 83 + -25x

Solving for variable 'x'.

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

Add '25x' to each side of the equation.
38 + -10x + 25x = 83 + -25x + 25x

Combine like terms: -10x + 25x = 15x
38 + 15x = 83 + -25x + 25x

Combine like terms: -25x + 25x = 0
38 + 15x = 83 + 0
38 + 15x = 83

Add '-38' to each side of the equation.
38 + -38 + 15x = 83 + -38

Combine like terms: 38 + -38 = 0
0 + 15x = 83 + -38
15x = 83 + -38

Combine like terms: 83 + -38 = 45
15x = 45

Divide each side by '15'.
x = 3

Simplifying
x = 3

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