(5x-100)+(x-20)=180

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Solution for (5x-100)+(x-20)=180 equation:


Simplifying
(5x + -100) + (x + -20) = 180

Reorder the terms:
(-100 + 5x) + (x + -20) = 180

Remove parenthesis around (-100 + 5x)
-100 + 5x + (x + -20) = 180

Reorder the terms:
-100 + 5x + (-20 + x) = 180

Remove parenthesis around (-20 + x)
-100 + 5x + -20 + x = 180

Reorder the terms:
-100 + -20 + 5x + x = 180

Combine like terms: -100 + -20 = -120
-120 + 5x + x = 180

Combine like terms: 5x + x = 6x
-120 + 6x = 180

Solving
-120 + 6x = 180

Solving for variable 'x'.

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

Add '120' to each side of the equation.
-120 + 120 + 6x = 180 + 120

Combine like terms: -120 + 120 = 0
0 + 6x = 180 + 120
6x = 180 + 120

Combine like terms: 180 + 120 = 300
6x = 300

Divide each side by '6'.
x = 50

Simplifying
x = 50

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