3(6x-1)-3(3x-8)=8x+8

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Solution for 3(6x-1)-3(3x-8)=8x+8 equation: 


Simplifying
3(6x + -1) + -3(3x + -8) = 8x + 8

Reorder the terms:
3(-1 + 6x) + -3(3x + -8) = 8x + 8
(-1 * 3 + 6x * 3) + -3(3x + -8) = 8x + 8
(-3 + 18x) + -3(3x + -8) = 8x + 8

Reorder the terms:
-3 + 18x + -3(-8 + 3x) = 8x + 8
-3 + 18x + (-8 * -3 + 3x * -3) = 8x + 8
-3 + 18x + (24 + -9x) = 8x + 8

Reorder the terms:
-3 + 24 + 18x + -9x = 8x + 8

Combine like terms: -3 + 24 = 21
21 + 18x + -9x = 8x + 8

Combine like terms: 18x + -9x = 9x
21 + 9x = 8x + 8

Reorder the terms:
21 + 9x = 8 + 8x

Solving
21 + 9x = 8 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
21 + 9x + -8x = 8 + 8x + -8x

Combine like terms: 9x + -8x = 1x
21 + 1x = 8 + 8x + -8x

Combine like terms: 8x + -8x = 0
21 + 1x = 8 + 0
21 + 1x = 8

Add '-21' to each side of the equation.
21 + -21 + 1x = 8 + -21

Combine like terms: 21 + -21 = 0
0 + 1x = 8 + -21
1x = 8 + -21

Combine like terms: 8 + -21 = -13
1x = -13

Divide each side by '1'.
x = -13

Simplifying
x = -13

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