9(-x+5)=27(6x-10)

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Solution for 9(-x+5)=27(6x-10) equation:


Simplifying
9(-1x + 5) = 27(6x + -10)

Reorder the terms:
9(5 + -1x) = 27(6x + -10)
(5 * 9 + -1x * 9) = 27(6x + -10)
(45 + -9x) = 27(6x + -10)

Reorder the terms:
45 + -9x = 27(-10 + 6x)
45 + -9x = (-10 * 27 + 6x * 27)
45 + -9x = (-270 + 162x)

Solving
45 + -9x = -270 + 162x

Solving for variable 'x'.

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

Add '-162x' to each side of the equation.
45 + -9x + -162x = -270 + 162x + -162x

Combine like terms: -9x + -162x = -171x
45 + -171x = -270 + 162x + -162x

Combine like terms: 162x + -162x = 0
45 + -171x = -270 + 0
45 + -171x = -270

Add '-45' to each side of the equation.
45 + -45 + -171x = -270 + -45

Combine like terms: 45 + -45 = 0
0 + -171x = -270 + -45
-171x = -270 + -45

Combine like terms: -270 + -45 = -315
-171x = -315

Divide each side by '-171'.
x = 1.842105263

Simplifying
x = 1.842105263

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