2x-4(x-4)=-6+5x+8

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Solution for 2x-4(x-4)=-6+5x+8 equation: 


Simplifying
2x + -4(x + -4) = -6 + 5x + 8

Reorder the terms:
2x + -4(-4 + x) = -6 + 5x + 8
2x + (-4 * -4 + x * -4) = -6 + 5x + 8
2x + (16 + -4x) = -6 + 5x + 8

Reorder the terms:
16 + 2x + -4x = -6 + 5x + 8

Combine like terms: 2x + -4x = -2x
16 + -2x = -6 + 5x + 8

Reorder the terms:
16 + -2x = -6 + 8 + 5x

Combine like terms: -6 + 8 = 2
16 + -2x = 2 + 5x

Solving
16 + -2x = 2 + 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.
16 + -2x + -5x = 2 + 5x + -5x

Combine like terms: -2x + -5x = -7x
16 + -7x = 2 + 5x + -5x

Combine like terms: 5x + -5x = 0
16 + -7x = 2 + 0
16 + -7x = 2

Add '-16' to each side of the equation.
16 + -16 + -7x = 2 + -16

Combine like terms: 16 + -16 = 0
0 + -7x = 2 + -16
-7x = 2 + -16

Combine like terms: 2 + -16 = -14
-7x = -14

Divide each side by '-7'.
x = 2

Simplifying
x = 2

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