2x-4(x-4)=-2+5x-24

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Solution for 2x-4(x-4)=-2+5x-24 equation: 


Simplifying
2x + -4(x + -4) = -2 + 5x + -24

Reorder the terms:
2x + -4(-4 + x) = -2 + 5x + -24
2x + (-4 * -4 + x * -4) = -2 + 5x + -24
2x + (16 + -4x) = -2 + 5x + -24

Reorder the terms:
16 + 2x + -4x = -2 + 5x + -24

Combine like terms: 2x + -4x = -2x
16 + -2x = -2 + 5x + -24

Reorder the terms:
16 + -2x = -2 + -24 + 5x

Combine like terms: -2 + -24 = -26
16 + -2x = -26 + 5x

Solving
16 + -2x = -26 + 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 = -26 + 5x + -5x

Combine like terms: -2x + -5x = -7x
16 + -7x = -26 + 5x + -5x

Combine like terms: 5x + -5x = 0
16 + -7x = -26 + 0
16 + -7x = -26

Add '-16' to each side of the equation.
16 + -16 + -7x = -26 + -16

Combine like terms: 16 + -16 = 0
0 + -7x = -26 + -16
-7x = -26 + -16

Combine like terms: -26 + -16 = -42
-7x = -42

Divide each side by '-7'.
x = 6

Simplifying
x = 6

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