5x-40=13x+40

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Solution for 5x-40=13x+40 equation:


Simplifying
5x + -40 = 13x + 40

Reorder the terms:
-40 + 5x = 13x + 40

Reorder the terms:
-40 + 5x = 40 + 13x

Solving
-40 + 5x = 40 + 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.
-40 + 5x + -13x = 40 + 13x + -13x

Combine like terms: 5x + -13x = -8x
-40 + -8x = 40 + 13x + -13x

Combine like terms: 13x + -13x = 0
-40 + -8x = 40 + 0
-40 + -8x = 40

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

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

Combine like terms: 40 + 40 = 80
-8x = 80

Divide each side by '-8'.
x = -10

Simplifying
x = -10

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