x+13=11x-7

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Solution for x+13=11x-7 equation:


Simplifying
x + 13 = 11x + -7

Reorder the terms:
13 + x = 11x + -7

Reorder the terms:
13 + x = -7 + 11x

Solving
13 + x = -7 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
13 + x + -11x = -7 + 11x + -11x

Combine like terms: x + -11x = -10x
13 + -10x = -7 + 11x + -11x

Combine like terms: 11x + -11x = 0
13 + -10x = -7 + 0
13 + -10x = -7

Add '-13' to each side of the equation.
13 + -13 + -10x = -7 + -13

Combine like terms: 13 + -13 = 0
0 + -10x = -7 + -13
-10x = -7 + -13

Combine like terms: -7 + -13 = -20
-10x = -20

Divide each side by '-10'.
x = 2

Simplifying
x = 2

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