6(x-2)-5=-3(-9x+9)-9x

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Solution for 6(x-2)-5=-3(-9x+9)-9x equation:


Simplifying
6(x + -2) + -5 = -3(-9x + 9) + -9x

Reorder the terms:
6(-2 + x) + -5 = -3(-9x + 9) + -9x
(-2 * 6 + x * 6) + -5 = -3(-9x + 9) + -9x
(-12 + 6x) + -5 = -3(-9x + 9) + -9x

Reorder the terms:
-12 + -5 + 6x = -3(-9x + 9) + -9x

Combine like terms: -12 + -5 = -17
-17 + 6x = -3(-9x + 9) + -9x

Reorder the terms:
-17 + 6x = -3(9 + -9x) + -9x
-17 + 6x = (9 * -3 + -9x * -3) + -9x
-17 + 6x = (-27 + 27x) + -9x

Combine like terms: 27x + -9x = 18x
-17 + 6x = -27 + 18x

Solving
-17 + 6x = -27 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
-17 + 6x + -18x = -27 + 18x + -18x

Combine like terms: 6x + -18x = -12x
-17 + -12x = -27 + 18x + -18x

Combine like terms: 18x + -18x = 0
-17 + -12x = -27 + 0
-17 + -12x = -27

Add '17' to each side of the equation.
-17 + 17 + -12x = -27 + 17

Combine like terms: -17 + 17 = 0
0 + -12x = -27 + 17
-12x = -27 + 17

Combine like terms: -27 + 17 = -10
-12x = -10

Divide each side by '-12'.
x = 0.8333333333

Simplifying
x = 0.8333333333

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