13x-40=7x+38

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Solution for 13x-40=7x+38 equation:


Simplifying
13x + -40 = 7x + 38

Reorder the terms:
-40 + 13x = 7x + 38

Reorder the terms:
-40 + 13x = 38 + 7x

Solving
-40 + 13x = 38 + 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.
-40 + 13x + -7x = 38 + 7x + -7x

Combine like terms: 13x + -7x = 6x
-40 + 6x = 38 + 7x + -7x

Combine like terms: 7x + -7x = 0
-40 + 6x = 38 + 0
-40 + 6x = 38

Add '40' to each side of the equation.
-40 + 40 + 6x = 38 + 40

Combine like terms: -40 + 40 = 0
0 + 6x = 38 + 40
6x = 38 + 40

Combine like terms: 38 + 40 = 78
6x = 78

Divide each side by '6'.
x = 13

Simplifying
x = 13

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