-6(2x+8)=3(x-9)-6

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Solution for -6(2x+8)=3(x-9)-6 equation: 


Simplifying
-6(2x + 8) = 3(x + -9) + -6

Reorder the terms:
-6(8 + 2x) = 3(x + -9) + -6
(8 * -6 + 2x * -6) = 3(x + -9) + -6
(-48 + -12x) = 3(x + -9) + -6

Reorder the terms:
-48 + -12x = 3(-9 + x) + -6
-48 + -12x = (-9 * 3 + x * 3) + -6
-48 + -12x = (-27 + 3x) + -6

Reorder the terms:
-48 + -12x = -27 + -6 + 3x

Combine like terms: -27 + -6 = -33
-48 + -12x = -33 + 3x

Solving
-48 + -12x = -33 + 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.
-48 + -12x + -3x = -33 + 3x + -3x

Combine like terms: -12x + -3x = -15x
-48 + -15x = -33 + 3x + -3x

Combine like terms: 3x + -3x = 0
-48 + -15x = -33 + 0
-48 + -15x = -33

Add '48' to each side of the equation.
-48 + 48 + -15x = -33 + 48

Combine like terms: -48 + 48 = 0
0 + -15x = -33 + 48
-15x = -33 + 48

Combine like terms: -33 + 48 = 15
-15x = 15

Divide each side by '-15'.
x = -1

Simplifying
x = -1

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