11x+5=2x-13

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Solution for 11x+5=2x-13 equation:


Simplifying
11x + 5 = 2x + -13

Reorder the terms:
5 + 11x = 2x + -13

Reorder the terms:
5 + 11x = -13 + 2x

Solving
5 + 11x = -13 + 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.
5 + 11x + -2x = -13 + 2x + -2x

Combine like terms: 11x + -2x = 9x
5 + 9x = -13 + 2x + -2x

Combine like terms: 2x + -2x = 0
5 + 9x = -13 + 0
5 + 9x = -13

Add '-5' to each side of the equation.
5 + -5 + 9x = -13 + -5

Combine like terms: 5 + -5 = 0
0 + 9x = -13 + -5
9x = -13 + -5

Combine like terms: -13 + -5 = -18
9x = -18

Divide each side by '9'.
x = -2

Simplifying
x = -2

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