27-(x+9)=7x-6

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Solution for 27-(x+9)=7x-6 equation:


Simplifying
27 + -1(x + 9) = 7x + -6

Reorder the terms:
27 + -1(9 + x) = 7x + -6
27 + (9 * -1 + x * -1) = 7x + -6
27 + (-9 + -1x) = 7x + -6

Combine like terms: 27 + -9 = 18
18 + -1x = 7x + -6

Reorder the terms:
18 + -1x = -6 + 7x

Solving
18 + -1x = -6 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
18 + -1x + -7x = -6 + 7x + -7x

Combine like terms: -1x + -7x = -8x
18 + -8x = -6 + 7x + -7x

Combine like terms: 7x + -7x = 0
18 + -8x = -6 + 0
18 + -8x = -6

Add '-18' to each side of the equation.
18 + -18 + -8x = -6 + -18

Combine like terms: 18 + -18 = 0
0 + -8x = -6 + -18
-8x = -6 + -18

Combine like terms: -6 + -18 = -24
-8x = -24

Divide each side by '-8'.
x = 3

Simplifying
x = 3

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