x+13=2(x-7)

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


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

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

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

Solving
13 + x = -14 + 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.
13 + x + -2x = -14 + 2x + -2x

Combine like terms: x + -2x = -1x
13 + -1x = -14 + 2x + -2x

Combine like terms: 2x + -2x = 0
13 + -1x = -14 + 0
13 + -1x = -14

Add '-13' to each side of the equation.
13 + -13 + -1x = -14 + -13

Combine like terms: 13 + -13 = 0
0 + -1x = -14 + -13
-1x = -14 + -13

Combine like terms: -14 + -13 = -27
-1x = -27

Divide each side by '-1'.
x = 27

Simplifying
x = 27

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