4(x-2)=12-3(1-x)

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Solution for 4(x-2)=12-3(1-x) equation:


Simplifying
4(x + -2) = 12 + -3(1 + -1x)

Reorder the terms:
4(-2 + x) = 12 + -3(1 + -1x)
(-2 * 4 + x * 4) = 12 + -3(1 + -1x)
(-8 + 4x) = 12 + -3(1 + -1x)
-8 + 4x = 12 + (1 * -3 + -1x * -3)
-8 + 4x = 12 + (-3 + 3x)

Combine like terms: 12 + -3 = 9
-8 + 4x = 9 + 3x

Solving
-8 + 4x = 9 + 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.
-8 + 4x + -3x = 9 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-8 + 1x = 9 + 3x + -3x

Combine like terms: 3x + -3x = 0
-8 + 1x = 9 + 0
-8 + 1x = 9

Add '8' to each side of the equation.
-8 + 8 + 1x = 9 + 8

Combine like terms: -8 + 8 = 0
0 + 1x = 9 + 8
1x = 9 + 8

Combine like terms: 9 + 8 = 17
1x = 17

Divide each side by '1'.
x = 17

Simplifying
x = 17

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