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

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


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

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

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

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

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

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

Solving
4 + 2x = -8 + 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.
4 + 2x + -5x = -8 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
4 + -3x = -8 + 0
4 + -3x = -8

Add '-4' to each side of the equation.
4 + -4 + -3x = -8 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = -8 + -4
-3x = -8 + -4

Combine like terms: -8 + -4 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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