(7x-11)+(2x-3)+(5x-2)=180

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Solution for (7x-11)+(2x-3)+(5x-2)=180 equation:


Simplifying
(7x + -11) + (2x + -3) + (5x + -2) = 180

Reorder the terms:
(-11 + 7x) + (2x + -3) + (5x + -2) = 180

Remove parenthesis around (-11 + 7x)
-11 + 7x + (2x + -3) + (5x + -2) = 180

Reorder the terms:
-11 + 7x + (-3 + 2x) + (5x + -2) = 180

Remove parenthesis around (-3 + 2x)
-11 + 7x + -3 + 2x + (5x + -2) = 180

Reorder the terms:
-11 + 7x + -3 + 2x + (-2 + 5x) = 180

Remove parenthesis around (-2 + 5x)
-11 + 7x + -3 + 2x + -2 + 5x = 180

Reorder the terms:
-11 + -3 + -2 + 7x + 2x + 5x = 180

Combine like terms: -11 + -3 = -14
-14 + -2 + 7x + 2x + 5x = 180

Combine like terms: -14 + -2 = -16
-16 + 7x + 2x + 5x = 180

Combine like terms: 7x + 2x = 9x
-16 + 9x + 5x = 180

Combine like terms: 9x + 5x = 14x
-16 + 14x = 180

Solving
-16 + 14x = 180

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + 14x = 180 + 16

Combine like terms: -16 + 16 = 0
0 + 14x = 180 + 16
14x = 180 + 16

Combine like terms: 180 + 16 = 196
14x = 196

Divide each side by '14'.
x = 14

Simplifying
x = 14

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