180=90+(8x+1)+(3x+1)

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Solution for 180=90+(8x+1)+(3x+1) equation:


Simplifying
180 = 90 + (8x + 1) + (3x + 1)

Reorder the terms:
180 = 90 + (1 + 8x) + (3x + 1)

Remove parenthesis around (1 + 8x)
180 = 90 + 1 + 8x + (3x + 1)

Reorder the terms:
180 = 90 + 1 + 8x + (1 + 3x)

Remove parenthesis around (1 + 3x)
180 = 90 + 1 + 8x + 1 + 3x

Reorder the terms:
180 = 90 + 1 + 1 + 8x + 3x

Combine like terms: 90 + 1 = 91
180 = 91 + 1 + 8x + 3x

Combine like terms: 91 + 1 = 92
180 = 92 + 8x + 3x

Combine like terms: 8x + 3x = 11x
180 = 92 + 11x

Solving
180 = 92 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
180 + -11x = 92 + 11x + -11x

Combine like terms: 11x + -11x = 0
180 + -11x = 92 + 0
180 + -11x = 92

Add '-180' to each side of the equation.
180 + -180 + -11x = 92 + -180

Combine like terms: 180 + -180 = 0
0 + -11x = 92 + -180
-11x = 92 + -180

Combine like terms: 92 + -180 = -88
-11x = -88

Divide each side by '-11'.
x = 8

Simplifying
x = 8

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