(9x-16)+(3x+11)+(7x-5)=180

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Solution for (9x-16)+(3x+11)+(7x-5)=180 equation:


Simplifying
(9x + -16) + (3x + 11) + (7x + -5) = 180

Reorder the terms:
(-16 + 9x) + (3x + 11) + (7x + -5) = 180

Remove parenthesis around (-16 + 9x)
-16 + 9x + (3x + 11) + (7x + -5) = 180

Reorder the terms:
-16 + 9x + (11 + 3x) + (7x + -5) = 180

Remove parenthesis around (11 + 3x)
-16 + 9x + 11 + 3x + (7x + -5) = 180

Reorder the terms:
-16 + 9x + 11 + 3x + (-5 + 7x) = 180

Remove parenthesis around (-5 + 7x)
-16 + 9x + 11 + 3x + -5 + 7x = 180

Reorder the terms:
-16 + 11 + -5 + 9x + 3x + 7x = 180

Combine like terms: -16 + 11 = -5
-5 + -5 + 9x + 3x + 7x = 180

Combine like terms: -5 + -5 = -10
-10 + 9x + 3x + 7x = 180

Combine like terms: 9x + 3x = 12x
-10 + 12x + 7x = 180

Combine like terms: 12x + 7x = 19x
-10 + 19x = 180

Solving
-10 + 19x = 180

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 19x = 180 + 10

Combine like terms: -10 + 10 = 0
0 + 19x = 180 + 10
19x = 180 + 10

Combine like terms: 180 + 10 = 190
19x = 190

Divide each side by '19'.
x = 10

Simplifying
x = 10

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