2(x-4)-4=3x-24

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Solution for 2(x-4)-4=3x-24 equation:


Simplifying
2(x + -4) + -4 = 3x + -24

Reorder the terms:
2(-4 + x) + -4 = 3x + -24
(-4 * 2 + x * 2) + -4 = 3x + -24
(-8 + 2x) + -4 = 3x + -24

Reorder the terms:
-8 + -4 + 2x = 3x + -24

Combine like terms: -8 + -4 = -12
-12 + 2x = 3x + -24

Reorder the terms:
-12 + 2x = -24 + 3x

Solving
-12 + 2x = -24 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-12 + 2x + -3x = -24 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-12 + -1x = -24 + 3x + -3x

Combine like terms: 3x + -3x = 0
-12 + -1x = -24 + 0
-12 + -1x = -24

Add '12' to each side of the equation.
-12 + 12 + -1x = -24 + 12

Combine like terms: -12 + 12 = 0
0 + -1x = -24 + 12
-1x = -24 + 12

Combine like terms: -24 + 12 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12

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