180=90+(8x+2)+(9x+3)

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Solution for 180=90+(8x+2)+(9x+3) equation:


Simplifying
180 = 90 + (8x + 2) + (9x + 3)

Reorder the terms:
180 = 90 + (2 + 8x) + (9x + 3)

Remove parenthesis around (2 + 8x)
180 = 90 + 2 + 8x + (9x + 3)

Reorder the terms:
180 = 90 + 2 + 8x + (3 + 9x)

Remove parenthesis around (3 + 9x)
180 = 90 + 2 + 8x + 3 + 9x

Reorder the terms:
180 = 90 + 2 + 3 + 8x + 9x

Combine like terms: 90 + 2 = 92
180 = 92 + 3 + 8x + 9x

Combine like terms: 92 + 3 = 95
180 = 95 + 8x + 9x

Combine like terms: 8x + 9x = 17x
180 = 95 + 17x

Solving
180 = 95 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
180 + -17x = 95 + 17x + -17x

Combine like terms: 17x + -17x = 0
180 + -17x = 95 + 0
180 + -17x = 95

Add '-180' to each side of the equation.
180 + -180 + -17x = 95 + -180

Combine like terms: 180 + -180 = 0
0 + -17x = 95 + -180
-17x = 95 + -180

Combine like terms: 95 + -180 = -85
-17x = -85

Divide each side by '-17'.
x = 5

Simplifying
x = 5

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