11x+13=7x-7+9x

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Solution for 11x+13=7x-7+9x equation:


Simplifying
11x + 13 = 7x + -7 + 9x

Reorder the terms:
13 + 11x = 7x + -7 + 9x

Reorder the terms:
13 + 11x = -7 + 7x + 9x

Combine like terms: 7x + 9x = 16x
13 + 11x = -7 + 16x

Solving
13 + 11x = -7 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
13 + 11x + -16x = -7 + 16x + -16x

Combine like terms: 11x + -16x = -5x
13 + -5x = -7 + 16x + -16x

Combine like terms: 16x + -16x = 0
13 + -5x = -7 + 0
13 + -5x = -7

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

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

Combine like terms: -7 + -13 = -20
-5x = -20

Divide each side by '-5'.
x = 4

Simplifying
x = 4

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