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

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


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

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

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

Combine like terms: 12 + 1 = 13
-3 + 3x = 13 + -1x

Solving
-3 + 3x = 13 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-3 + 3x + x = 13 + -1x + x

Combine like terms: 3x + x = 4x
-3 + 4x = 13 + -1x + x

Combine like terms: -1x + x = 0
-3 + 4x = 13 + 0
-3 + 4x = 13

Add '3' to each side of the equation.
-3 + 3 + 4x = 13 + 3

Combine like terms: -3 + 3 = 0
0 + 4x = 13 + 3
4x = 13 + 3

Combine like terms: 13 + 3 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4

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