(x-2)+(3x-7)+5x=180

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Solution for (x-2)+(3x-7)+5x=180 equation: 


Simplifying
(x + -2) + (3x + -7) + 5x = 180

Reorder the terms:
(-2 + x) + (3x + -7) + 5x = 180

Remove parenthesis around (-2 + x)
-2 + x + (3x + -7) + 5x = 180

Reorder the terms:
-2 + x + (-7 + 3x) + 5x = 180

Remove parenthesis around (-7 + 3x)
-2 + x + -7 + 3x + 5x = 180

Reorder the terms:
-2 + -7 + x + 3x + 5x = 180

Combine like terms: -2 + -7 = -9
-9 + x + 3x + 5x = 180

Combine like terms: x + 3x = 4x
-9 + 4x + 5x = 180

Combine like terms: 4x + 5x = 9x
-9 + 9x = 180

Solving
-9 + 9x = 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 + 9x = 180 + 9

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

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

Divide each side by '9'.
x = 21

Simplifying
x = 21

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