-8(2x-5)+3x=4(x+7)-107

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Solution for -8(2x-5)+3x=4(x+7)-107 equation: 


Simplifying
-8(2x + -5) + 3x = 4(x + 7) + -107

Reorder the terms:
-8(-5 + 2x) + 3x = 4(x + 7) + -107
(-5 * -8 + 2x * -8) + 3x = 4(x + 7) + -107
(40 + -16x) + 3x = 4(x + 7) + -107

Combine like terms: -16x + 3x = -13x
40 + -13x = 4(x + 7) + -107

Reorder the terms:
40 + -13x = 4(7 + x) + -107
40 + -13x = (7 * 4 + x * 4) + -107
40 + -13x = (28 + 4x) + -107

Reorder the terms:
40 + -13x = 28 + -107 + 4x

Combine like terms: 28 + -107 = -79
40 + -13x = -79 + 4x

Solving
40 + -13x = -79 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
40 + -13x + -4x = -79 + 4x + -4x

Combine like terms: -13x + -4x = -17x
40 + -17x = -79 + 4x + -4x

Combine like terms: 4x + -4x = 0
40 + -17x = -79 + 0
40 + -17x = -79

Add '-40' to each side of the equation.
40 + -40 + -17x = -79 + -40

Combine like terms: 40 + -40 = 0
0 + -17x = -79 + -40
-17x = -79 + -40

Combine like terms: -79 + -40 = -119
-17x = -119

Divide each side by '-17'.
x = 7

Simplifying
x = 7

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