(5x+3)2+(11x-15)=180

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Solution for (5x+3)2+(11x-15)=180 equation:


Simplifying
(5x + 3) * 2 + (11x + -15) = 180

Reorder the terms:
(3 + 5x) * 2 + (11x + -15) = 180

Reorder the terms for easier multiplication:
2(3 + 5x) + (11x + -15) = 180
(3 * 2 + 5x * 2) + (11x + -15) = 180
(6 + 10x) + (11x + -15) = 180

Reorder the terms:
6 + 10x + (-15 + 11x) = 180

Remove parenthesis around (-15 + 11x)
6 + 10x + -15 + 11x = 180

Reorder the terms:
6 + -15 + 10x + 11x = 180

Combine like terms: 6 + -15 = -9
-9 + 10x + 11x = 180

Combine like terms: 10x + 11x = 21x
-9 + 21x = 180

Solving
-9 + 21x = 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 + 21x = 180 + 9

Combine like terms: -9 + 9 = 0
0 + 21x = 180 + 9
21x = 180 + 9

Combine like terms: 180 + 9 = 189
21x = 189

Divide each side by '21'.
x = 9

Simplifying
x = 9

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