3x+(2x-7)+(4x-11)=180

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Solution for 3x+(2x-7)+(4x-11)=180 equation:


Simplifying
3x + (2x + -7) + (4x + -11) = 180

Reorder the terms:
3x + (-7 + 2x) + (4x + -11) = 180

Remove parenthesis around (-7 + 2x)
3x + -7 + 2x + (4x + -11) = 180

Reorder the terms:
3x + -7 + 2x + (-11 + 4x) = 180

Remove parenthesis around (-11 + 4x)
3x + -7 + 2x + -11 + 4x = 180

Reorder the terms:
-7 + -11 + 3x + 2x + 4x = 180

Combine like terms: -7 + -11 = -18
-18 + 3x + 2x + 4x = 180

Combine like terms: 3x + 2x = 5x
-18 + 5x + 4x = 180

Combine like terms: 5x + 4x = 9x
-18 + 9x = 180

Solving
-18 + 9x = 180

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + 9x = 180 + 18

Combine like terms: -18 + 18 = 0
0 + 9x = 180 + 18
9x = 180 + 18

Combine like terms: 180 + 18 = 198
9x = 198

Divide each side by '9'.
x = 22

Simplifying
x = 22

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