(5x+40)=(8x-20)

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Solution for (5x+40)=(8x-20) equation:


Simplifying
(5x + 40) = (8x + -20)

Reorder the terms:
(40 + 5x) = (8x + -20)

Remove parenthesis around (40 + 5x)
40 + 5x = (8x + -20)

Reorder the terms:
40 + 5x = (-20 + 8x)

Remove parenthesis around (-20 + 8x)
40 + 5x = -20 + 8x

Solving
40 + 5x = -20 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
40 + 5x + -8x = -20 + 8x + -8x

Combine like terms: 5x + -8x = -3x
40 + -3x = -20 + 8x + -8x

Combine like terms: 8x + -8x = 0
40 + -3x = -20 + 0
40 + -3x = -20

Add '-40' to each side of the equation.
40 + -40 + -3x = -20 + -40

Combine like terms: 40 + -40 = 0
0 + -3x = -20 + -40
-3x = -20 + -40

Combine like terms: -20 + -40 = -60
-3x = -60

Divide each side by '-3'.
x = 20

Simplifying
x = 20

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