(x-5)+(x-5)+(5x+1)=180

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Solution for (x-5)+(x-5)+(5x+1)=180 equation:


Simplifying
(x + -5) + (x + -5) + (5x + 1) = 180

Reorder the terms:
(-5 + x) + (x + -5) + (5x + 1) = 180

Remove parenthesis around (-5 + x)
-5 + x + (x + -5) + (5x + 1) = 180

Reorder the terms:
-5 + x + (-5 + x) + (5x + 1) = 180

Remove parenthesis around (-5 + x)
-5 + x + -5 + x + (5x + 1) = 180

Reorder the terms:
-5 + x + -5 + x + (1 + 5x) = 180

Remove parenthesis around (1 + 5x)
-5 + x + -5 + x + 1 + 5x = 180

Reorder the terms:
-5 + -5 + 1 + x + x + 5x = 180

Combine like terms: -5 + -5 = -10
-10 + 1 + x + x + 5x = 180

Combine like terms: -10 + 1 = -9
-9 + x + x + 5x = 180

Combine like terms: x + x = 2x
-9 + 2x + 5x = 180

Combine like terms: 2x + 5x = 7x
-9 + 7x = 180

Solving
-9 + 7x = 180

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + 7x = 180 + 9

Combine like terms: -9 + 9 = 0
0 + 7x = 180 + 9
7x = 180 + 9

Combine like terms: 180 + 9 = 189
7x = 189

Divide each side by '7'.
x = 27

Simplifying
x = 27

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