12=3(x-3)-(x-7)

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Solution for 12=3(x-3)-(x-7) equation: 


Simplifying
12 = 3(x + -3) + -1(x + -7)

Reorder the terms:
12 = 3(-3 + x) + -1(x + -7)
12 = (-3 * 3 + x * 3) + -1(x + -7)
12 = (-9 + 3x) + -1(x + -7)

Reorder the terms:
12 = -9 + 3x + -1(-7 + x)
12 = -9 + 3x + (-7 * -1 + x * -1)
12 = -9 + 3x + (7 + -1x)

Reorder the terms:
12 = -9 + 7 + 3x + -1x

Combine like terms: -9 + 7 = -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 = -14
-2x = -14

Divide each side by '-2'.
x = 7

Simplifying
x = 7

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