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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