13x-8=7x+40

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Solution for 13x-8=7x+40 equation:


Simplifying
13x + -8 = 7x + 40

Reorder the terms:
-8 + 13x = 7x + 40

Reorder the terms:
-8 + 13x = 40 + 7x

Solving
-8 + 13x = 40 + 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.
-8 + 13x + -7x = 40 + 7x + -7x

Combine like terms: 13x + -7x = 6x
-8 + 6x = 40 + 7x + -7x

Combine like terms: 7x + -7x = 0
-8 + 6x = 40 + 0
-8 + 6x = 40

Add '8' to each side of the equation.
-8 + 8 + 6x = 40 + 8

Combine like terms: -8 + 8 = 0
0 + 6x = 40 + 8
6x = 40 + 8

Combine like terms: 40 + 8 = 48
6x = 48

Divide each side by '6'.
x = 8

Simplifying
x = 8

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