11x+5=13x-7

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Solution for 11x+5=13x-7 equation:


Simplifying
11x + 5 = 13x + -7

Reorder the terms:
5 + 11x = 13x + -7

Reorder the terms:
5 + 11x = -7 + 13x

Solving
5 + 11x = -7 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
5 + 11x + -13x = -7 + 13x + -13x

Combine like terms: 11x + -13x = -2x
5 + -2x = -7 + 13x + -13x

Combine like terms: 13x + -13x = 0
5 + -2x = -7 + 0
5 + -2x = -7

Add '-5' to each side of the equation.
5 + -5 + -2x = -7 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = -7 + -5
-2x = -7 + -5

Combine like terms: -7 + -5 = -12
-2x = -12

Divide each side by '-2'.
x = 6

Simplifying
x = 6

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