9x-2+7x+13=10x-13

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Solution for 9x-2+7x+13=10x-13 equation:


Simplifying
9x + -2 + 7x + 13 = 10x + -13

Reorder the terms:
-2 + 13 + 9x + 7x = 10x + -13

Combine like terms: -2 + 13 = 11
11 + 9x + 7x = 10x + -13

Combine like terms: 9x + 7x = 16x
11 + 16x = 10x + -13

Reorder the terms:
11 + 16x = -13 + 10x

Solving
11 + 16x = -13 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
11 + 16x + -10x = -13 + 10x + -10x

Combine like terms: 16x + -10x = 6x
11 + 6x = -13 + 10x + -10x

Combine like terms: 10x + -10x = 0
11 + 6x = -13 + 0
11 + 6x = -13

Add '-11' to each side of the equation.
11 + -11 + 6x = -13 + -11

Combine like terms: 11 + -11 = 0
0 + 6x = -13 + -11
6x = -13 + -11

Combine like terms: -13 + -11 = -24
6x = -24

Divide each side by '6'.
x = -4

Simplifying
x = -4

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