13x+10=9x-22

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Solution for 13x+10=9x-22 equation:


Simplifying
13x + 10 = 9x + -22

Reorder the terms:
10 + 13x = 9x + -22

Reorder the terms:
10 + 13x = -22 + 9x

Solving
10 + 13x = -22 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
10 + 13x + -9x = -22 + 9x + -9x

Combine like terms: 13x + -9x = 4x
10 + 4x = -22 + 9x + -9x

Combine like terms: 9x + -9x = 0
10 + 4x = -22 + 0
10 + 4x = -22

Add '-10' to each side of the equation.
10 + -10 + 4x = -22 + -10

Combine like terms: 10 + -10 = 0
0 + 4x = -22 + -10
4x = -22 + -10

Combine like terms: -22 + -10 = -32
4x = -32

Divide each side by '4'.
x = -8

Simplifying
x = -8

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