4x-2(x-4)=-6+5x-7

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Solution for 4x-2(x-4)=-6+5x-7 equation: 


Simplifying
4x + -2(x + -4) = -6 + 5x + -7

Reorder the terms:
4x + -2(-4 + x) = -6 + 5x + -7
4x + (-4 * -2 + x * -2) = -6 + 5x + -7
4x + (8 + -2x) = -6 + 5x + -7

Reorder the terms:
8 + 4x + -2x = -6 + 5x + -7

Combine like terms: 4x + -2x = 2x
8 + 2x = -6 + 5x + -7

Reorder the terms:
8 + 2x = -6 + -7 + 5x

Combine like terms: -6 + -7 = -13
8 + 2x = -13 + 5x

Solving
8 + 2x = -13 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
8 + 2x + -5x = -13 + 5x + -5x

Combine like terms: 2x + -5x = -3x
8 + -3x = -13 + 5x + -5x

Combine like terms: 5x + -5x = 0
8 + -3x = -13 + 0
8 + -3x = -13

Add '-8' to each side of the equation.
8 + -8 + -3x = -13 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = -13 + -8
-3x = -13 + -8

Combine like terms: -13 + -8 = -21
-3x = -21

Divide each side by '-3'.
x = 7

Simplifying
x = 7

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