12=2x-(x-7)

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Solution for 12=2x-(x-7) equation:


Simplifying
12 = 2x + -1(x + -7)

Reorder the terms:
12 = 2x + -1(-7 + x)
12 = 2x + (-7 * -1 + x * -1)
12 = 2x + (7 + -1x)

Reorder the terms:
12 = 7 + 2x + -1x

Combine like terms: 2x + -1x = 1x
12 = 7 + 1x

Solving
12 = 7 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
12 + -1x = 7 + 1x + -1x

Combine like terms: 1x + -1x = 0
12 + -1x = 7 + 0
12 + -1x = 7

Add '-12' to each side of the equation.
12 + -12 + -1x = 7 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 7 + -12
-1x = 7 + -12

Combine like terms: 7 + -12 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5

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