((x-7)+(x)+(2(x)-21))=180

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Solution for ((x-7)+(x)+(2(x)-21))=180 equation: 


Simplifying
((x + -7) + (x) + (2(x) + -21)) = 180

Reorder the terms:
((-7 + x) + (x) + (2(x) + -21)) = 180

Remove parenthesis around (-7 + x)
(-7 + x + (x) + (2(x) + -21)) = 180
(-7 + x + x + (2(x) + -21)) = 180

Reorder the terms:
(-7 + x + x + (-21 + 2x)) = 180

Remove parenthesis around (-21 + 2x)
(-7 + x + x + -21 + 2x) = 180

Reorder the terms:
(-7 + -21 + x + x + 2x) = 180

Combine like terms: -7 + -21 = -28
(-28 + x + x + 2x) = 180

Combine like terms: x + x = 2x
(-28 + 2x + 2x) = 180

Combine like terms: 2x + 2x = 4x
(-28 + 4x) = 180

Remove parenthesis around (-28 + 4x)
-28 + 4x = 180

Solving
-28 + 4x = 180

Solving for variable 'x'.

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

Add '28' to each side of the equation.
-28 + 28 + 4x = 180 + 28

Combine like terms: -28 + 28 = 0
0 + 4x = 180 + 28
4x = 180 + 28

Combine like terms: 180 + 28 = 208
4x = 208

Divide each side by '4'.
x = 52

Simplifying
x = 52

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