6x+22=13x-6

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Solution for 6x+22=13x-6 equation:


Simplifying
6x + 22 = 13x + -6

Reorder the terms:
22 + 6x = 13x + -6

Reorder the terms:
22 + 6x = -6 + 13x

Solving
22 + 6x = -6 + 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 + 6x + -13x = -6 + 13x + -13x

Combine like terms: 6x + -13x = -7x
22 + -7x = -6 + 13x + -13x

Combine like terms: 13x + -13x = 0
22 + -7x = -6 + 0
22 + -7x = -6

Add '-22' to each side of the equation.
22 + -22 + -7x = -6 + -22

Combine like terms: 22 + -22 = 0
0 + -7x = -6 + -22
-7x = -6 + -22

Combine like terms: -6 + -22 = -28
-7x = -28

Divide each side by '-7'.
x = 4

Simplifying
x = 4

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