12=3(x-1)-(x-5)

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Solution for 12=3(x-1)-(x-5) equation: 


Simplifying
12 = 3(x + -1) + -1(x + -5)

Reorder the terms:
12 = 3(-1 + x) + -1(x + -5)
12 = (-1 * 3 + x * 3) + -1(x + -5)
12 = (-3 + 3x) + -1(x + -5)

Reorder the terms:
12 = -3 + 3x + -1(-5 + x)
12 = -3 + 3x + (-5 * -1 + x * -1)
12 = -3 + 3x + (5 + -1x)

Reorder the terms:
12 = -3 + 5 + 3x + -1x

Combine like terms: -3 + 5 = 2
12 = 2 + 3x + -1x

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

Solving
12 = 2 + 2x

Solving for variable 'x'.

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

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

Combine like terms: 2x + -2x = 0
12 + -2x = 2 + 0
12 + -2x = 2

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

Combine like terms: 12 + -12 = 0
0 + -2x = 2 + -12
-2x = 2 + -12

Combine like terms: 2 + -12 = -10
-2x = -10

Divide each side by '-2'.
x = 5

Simplifying
x = 5

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