x+(x+9)+(2x-21)=180

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Solution for x+(x+9)+(2x-21)=180 equation:


Simplifying
x + (x + 9) + (2x + -21) = 180

Reorder the terms:
x + (9 + x) + (2x + -21) = 180

Remove parenthesis around (9 + x)
x + 9 + x + (2x + -21) = 180

Reorder the terms:
x + 9 + x + (-21 + 2x) = 180

Remove parenthesis around (-21 + 2x)
x + 9 + x + -21 + 2x = 180

Reorder the terms:
9 + -21 + x + x + 2x = 180

Combine like terms: 9 + -21 = -12
-12 + x + x + 2x = 180

Combine like terms: x + x = 2x
-12 + 2x + 2x = 180

Combine like terms: 2x + 2x = 4x
-12 + 4x = 180

Solving
-12 + 4x = 180

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 4x = 180 + 12

Combine like terms: -12 + 12 = 0
0 + 4x = 180 + 12
4x = 180 + 12

Combine like terms: 180 + 12 = 192
4x = 192

Divide each side by '4'.
x = 48

Simplifying
x = 48

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