2(x-4)-4=3(1-x)

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Solution for 2(x-4)-4=3(1-x) equation:


Simplifying
2(x + -4) + -4 = 3(1 + -1x)

Reorder the terms:
2(-4 + x) + -4 = 3(1 + -1x)
(-4 * 2 + x * 2) + -4 = 3(1 + -1x)
(-8 + 2x) + -4 = 3(1 + -1x)

Reorder the terms:
-8 + -4 + 2x = 3(1 + -1x)

Combine like terms: -8 + -4 = -12
-12 + 2x = 3(1 + -1x)
-12 + 2x = (1 * 3 + -1x * 3)
-12 + 2x = (3 + -3x)

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

Combine like terms: 2x + 3x = 5x
-12 + 5x = 3 + -3x + 3x

Combine like terms: -3x + 3x = 0
-12 + 5x = 3 + 0
-12 + 5x = 3

Add '12' to each side of the equation.
-12 + 12 + 5x = 3 + 12

Combine like terms: -12 + 12 = 0
0 + 5x = 3 + 12
5x = 3 + 12

Combine like terms: 3 + 12 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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