5x+11=7x-13

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


Simplifying
5x + 11 = 7x + -13

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

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

Solving
11 + 5x = -13 + 7x

Solving for variable 'x'.

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

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

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

Combine like terms: 7x + -7x = 0
11 + -2x = -13 + 0
11 + -2x = -13

Add '-11' to each side of the equation.
11 + -11 + -2x = -13 + -11

Combine like terms: 11 + -11 = 0
0 + -2x = -13 + -11
-2x = -13 + -11

Combine like terms: -13 + -11 = -24
-2x = -24

Divide each side by '-2'.
x = 12

Simplifying
x = 12

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