(x)+(7x-7)+(x+16)=180

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Solution for (x)+(7x-7)+(x+16)=180 equation:


Simplifying
(x) + (7x + -7) + (x + 16) = 180
x + (7x + -7) + (x + 16) = 180

Reorder the terms:
x + (-7 + 7x) + (x + 16) = 180

Remove parenthesis around (-7 + 7x)
x + -7 + 7x + (x + 16) = 180

Reorder the terms:
x + -7 + 7x + (16 + x) = 180

Remove parenthesis around (16 + x)
x + -7 + 7x + 16 + x = 180

Reorder the terms:
-7 + 16 + x + 7x + x = 180

Combine like terms: -7 + 16 = 9
9 + x + 7x + x = 180

Combine like terms: x + 7x = 8x
9 + 8x + x = 180

Combine like terms: 8x + x = 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 = 171
9x = 171

Divide each side by '9'.
x = 19

Simplifying
x = 19

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