-4(x-2)+3(x-1)=2(x-7)-5

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Solution for -4(x-2)+3(x-1)=2(x-7)-5 equation:


Simplifying
-4(x + -2) + 3(x + -1) = 2(x + -7) + -5

Reorder the terms:
-4(-2 + x) + 3(x + -1) = 2(x + -7) + -5
(-2 * -4 + x * -4) + 3(x + -1) = 2(x + -7) + -5
(8 + -4x) + 3(x + -1) = 2(x + -7) + -5

Reorder the terms:
8 + -4x + 3(-1 + x) = 2(x + -7) + -5
8 + -4x + (-1 * 3 + x * 3) = 2(x + -7) + -5
8 + -4x + (-3 + 3x) = 2(x + -7) + -5

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

Combine like terms: 8 + -3 = 5
5 + -4x + 3x = 2(x + -7) + -5

Combine like terms: -4x + 3x = -1x
5 + -1x = 2(x + -7) + -5

Reorder the terms:
5 + -1x = 2(-7 + x) + -5
5 + -1x = (-7 * 2 + x * 2) + -5
5 + -1x = (-14 + 2x) + -5

Reorder the terms:
5 + -1x = -14 + -5 + 2x

Combine like terms: -14 + -5 = -19
5 + -1x = -19 + 2x

Solving
5 + -1x = -19 + 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 + -1x + -2x = -19 + 2x + -2x

Combine like terms: -1x + -2x = -3x
5 + -3x = -19 + 2x + -2x

Combine like terms: 2x + -2x = 0
5 + -3x = -19 + 0
5 + -3x = -19

Add '-5' to each side of the equation.
5 + -5 + -3x = -19 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = -19 + -5
-3x = -19 + -5

Combine like terms: -19 + -5 = -24
-3x = -24

Divide each side by '-3'.
x = 8

Simplifying
x = 8

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