8x+x+22=13x-10

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Solution for 8x+x+22=13x-10 equation:


Simplifying
8x + x + 22 = 13x + -10

Reorder the terms:
22 + 8x + x = 13x + -10

Combine like terms: 8x + x = 9x
22 + 9x = 13x + -10

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

Solving
22 + 9x = -10 + 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.
22 + 9x + -13x = -10 + 13x + -13x

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

Combine like terms: 13x + -13x = 0
22 + -4x = -10 + 0
22 + -4x = -10

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

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

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

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

Simplifying
x = 8

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