(4x+20)=(5x-2)

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Solution for (4x+20)=(5x-2) equation:


Simplifying
(4x + 20) = (5x + -2)

Reorder the terms:
(20 + 4x) = (5x + -2)

Remove parenthesis around (20 + 4x)
20 + 4x = (5x + -2)

Reorder the terms:
20 + 4x = (-2 + 5x)

Remove parenthesis around (-2 + 5x)
20 + 4x = -2 + 5x

Solving
20 + 4x = -2 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
20 + 4x + -5x = -2 + 5x + -5x

Combine like terms: 4x + -5x = -1x
20 + -1x = -2 + 5x + -5x

Combine like terms: 5x + -5x = 0
20 + -1x = -2 + 0
20 + -1x = -2

Add '-20' to each side of the equation.
20 + -20 + -1x = -2 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = -2 + -20
-1x = -2 + -20

Combine like terms: -2 + -20 = -22
-1x = -22

Divide each side by '-1'.
x = 22

Simplifying
x = 22

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