(3x-5)+(x-5)+(x-20)=180

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Solution for (3x-5)+(x-5)+(x-20)=180 equation:


Simplifying
(3x + -5) + (x + -5) + (x + -20) = 180

Reorder the terms:
(-5 + 3x) + (x + -5) + (x + -20) = 180

Remove parenthesis around (-5 + 3x)
-5 + 3x + (x + -5) + (x + -20) = 180

Reorder the terms:
-5 + 3x + (-5 + x) + (x + -20) = 180

Remove parenthesis around (-5 + x)
-5 + 3x + -5 + x + (x + -20) = 180

Reorder the terms:
-5 + 3x + -5 + x + (-20 + x) = 180

Remove parenthesis around (-20 + x)
-5 + 3x + -5 + x + -20 + x = 180

Reorder the terms:
-5 + -5 + -20 + 3x + x + x = 180

Combine like terms: -5 + -5 = -10
-10 + -20 + 3x + x + x = 180

Combine like terms: -10 + -20 = -30
-30 + 3x + x + x = 180

Combine like terms: 3x + x = 4x
-30 + 4x + x = 180

Combine like terms: 4x + x = 5x
-30 + 5x = 180

Solving
-30 + 5x = 180

Solving for variable 'x'.

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

Add '30' to each side of the equation.
-30 + 30 + 5x = 180 + 30

Combine like terms: -30 + 30 = 0
0 + 5x = 180 + 30
5x = 180 + 30

Combine like terms: 180 + 30 = 210
5x = 210

Divide each side by '5'.
x = 42

Simplifying
x = 42

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