13x-4=7x-22

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Solution for 13x-4=7x-22 equation:


Simplifying
13x + -4 = 7x + -22

Reorder the terms:
-4 + 13x = 7x + -22

Reorder the terms:
-4 + 13x = -22 + 7x

Solving
-4 + 13x = -22 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-4 + 13x + -7x = -22 + 7x + -7x

Combine like terms: 13x + -7x = 6x
-4 + 6x = -22 + 7x + -7x

Combine like terms: 7x + -7x = 0
-4 + 6x = -22 + 0
-4 + 6x = -22

Add '4' to each side of the equation.
-4 + 4 + 6x = -22 + 4

Combine like terms: -4 + 4 = 0
0 + 6x = -22 + 4
6x = -22 + 4

Combine like terms: -22 + 4 = -18
6x = -18

Divide each side by '6'.
x = -3

Simplifying
x = -3

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