-(x-27)+2(x+3)=9(x-59)

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Solution for -(x-27)+2(x+3)=9(x-59) equation:


Simplifying
-1(x + -27) + 2(x + 3) = 9(x + -59)

Reorder the terms:
-1(-27 + x) + 2(x + 3) = 9(x + -59)
(-27 * -1 + x * -1) + 2(x + 3) = 9(x + -59)
(27 + -1x) + 2(x + 3) = 9(x + -59)

Reorder the terms:
27 + -1x + 2(3 + x) = 9(x + -59)
27 + -1x + (3 * 2 + x * 2) = 9(x + -59)
27 + -1x + (6 + 2x) = 9(x + -59)

Reorder the terms:
27 + 6 + -1x + 2x = 9(x + -59)

Combine like terms: 27 + 6 = 33
33 + -1x + 2x = 9(x + -59)

Combine like terms: -1x + 2x = 1x
33 + 1x = 9(x + -59)

Reorder the terms:
33 + 1x = 9(-59 + x)
33 + 1x = (-59 * 9 + x * 9)
33 + 1x = (-531 + 9x)

Solving
33 + 1x = -531 + 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.
33 + 1x + -9x = -531 + 9x + -9x

Combine like terms: 1x + -9x = -8x
33 + -8x = -531 + 9x + -9x

Combine like terms: 9x + -9x = 0
33 + -8x = -531 + 0
33 + -8x = -531

Add '-33' to each side of the equation.
33 + -33 + -8x = -531 + -33

Combine like terms: 33 + -33 = 0
0 + -8x = -531 + -33
-8x = -531 + -33

Combine like terms: -531 + -33 = -564
-8x = -564

Divide each side by '-8'.
x = 70.5

Simplifying
x = 70.5

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