12-2(x-7)=x-13

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Solution for 12-2(x-7)=x-13 equation:


Simplifying
12 + -2(x + -7) = x + -13

Reorder the terms:
12 + -2(-7 + x) = x + -13
12 + (-7 * -2 + x * -2) = x + -13
12 + (14 + -2x) = x + -13

Combine like terms: 12 + 14 = 26
26 + -2x = x + -13

Reorder the terms:
26 + -2x = -13 + x

Solving
26 + -2x = -13 + x

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.
26 + -2x + -1x = -13 + x + -1x

Combine like terms: -2x + -1x = -3x
26 + -3x = -13 + x + -1x

Combine like terms: x + -1x = 0
26 + -3x = -13 + 0
26 + -3x = -13

Add '-26' to each side of the equation.
26 + -26 + -3x = -13 + -26

Combine like terms: 26 + -26 = 0
0 + -3x = -13 + -26
-3x = -13 + -26

Combine like terms: -13 + -26 = -39
-3x = -39

Divide each side by '-3'.
x = 13

Simplifying
x = 13

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