(2x-20)=(3x-100)

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Solution for (2x-20)=(3x-100) equation:


Simplifying
(2x + -20) = (3x + -100)

Reorder the terms:
(-20 + 2x) = (3x + -100)

Remove parenthesis around (-20 + 2x)
-20 + 2x = (3x + -100)

Reorder the terms:
-20 + 2x = (-100 + 3x)

Remove parenthesis around (-100 + 3x)
-20 + 2x = -100 + 3x

Solving
-20 + 2x = -100 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-20 + 2x + -3x = -100 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-20 + -1x = -100 + 3x + -3x

Combine like terms: 3x + -3x = 0
-20 + -1x = -100 + 0
-20 + -1x = -100

Add '20' to each side of the equation.
-20 + 20 + -1x = -100 + 20

Combine like terms: -20 + 20 = 0
0 + -1x = -100 + 20
-1x = -100 + 20

Combine like terms: -100 + 20 = -80
-1x = -80

Divide each side by '-1'.
x = 80

Simplifying
x = 80

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