180-x=9(90-x)+50

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Solution for 180-x=9(90-x)+50 equation:


Simplifying
180 + -1x = 9(90 + -1x) + 50
180 + -1x = (90 * 9 + -1x * 9) + 50
180 + -1x = (810 + -9x) + 50

Reorder the terms:
180 + -1x = 810 + 50 + -9x

Combine like terms: 810 + 50 = 860
180 + -1x = 860 + -9x

Solving
180 + -1x = 860 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
180 + -1x + 9x = 860 + -9x + 9x

Combine like terms: -1x + 9x = 8x
180 + 8x = 860 + -9x + 9x

Combine like terms: -9x + 9x = 0
180 + 8x = 860 + 0
180 + 8x = 860

Add '-180' to each side of the equation.
180 + -180 + 8x = 860 + -180

Combine like terms: 180 + -180 = 0
0 + 8x = 860 + -180
8x = 860 + -180

Combine like terms: 860 + -180 = 680
8x = 680

Divide each side by '8'.
x = 85

Simplifying
x = 85

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