180-x-90-x=3(90-x)+9

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


Simplifying
180 + -1x + -90 + -1x = 3(90 + -1x) + 9

Reorder the terms:
180 + -90 + -1x + -1x = 3(90 + -1x) + 9

Combine like terms: 180 + -90 = 90
90 + -1x + -1x = 3(90 + -1x) + 9

Combine like terms: -1x + -1x = -2x
90 + -2x = 3(90 + -1x) + 9
90 + -2x = (90 * 3 + -1x * 3) + 9
90 + -2x = (270 + -3x) + 9

Reorder the terms:
90 + -2x = 270 + 9 + -3x

Combine like terms: 270 + 9 = 279
90 + -2x = 279 + -3x

Solving
90 + -2x = 279 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
90 + -2x + 3x = 279 + -3x + 3x

Combine like terms: -2x + 3x = 1x
90 + 1x = 279 + -3x + 3x

Combine like terms: -3x + 3x = 0
90 + 1x = 279 + 0
90 + 1x = 279

Add '-90' to each side of the equation.
90 + -90 + 1x = 279 + -90

Combine like terms: 90 + -90 = 0
0 + 1x = 279 + -90
1x = 279 + -90

Combine like terms: 279 + -90 = 189
1x = 189

Divide each side by '1'.
x = 189

Simplifying
x = 189

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