3(6x-1)-3(3x-19)=8x+8

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Solution for 3(6x-1)-3(3x-19)=8x+8 equation: 


Simplifying
3(6x + -1) + -3(3x + -19) = 8x + 8

Reorder the terms:
3(-1 + 6x) + -3(3x + -19) = 8x + 8
(-1 * 3 + 6x * 3) + -3(3x + -19) = 8x + 8
(-3 + 18x) + -3(3x + -19) = 8x + 8

Reorder the terms:
-3 + 18x + -3(-19 + 3x) = 8x + 8
-3 + 18x + (-19 * -3 + 3x * -3) = 8x + 8
-3 + 18x + (57 + -9x) = 8x + 8

Reorder the terms:
-3 + 57 + 18x + -9x = 8x + 8

Combine like terms: -3 + 57 = 54
54 + 18x + -9x = 8x + 8

Combine like terms: 18x + -9x = 9x
54 + 9x = 8x + 8

Reorder the terms:
54 + 9x = 8 + 8x

Solving
54 + 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.
54 + 9x + -8x = 8 + 8x + -8x

Combine like terms: 9x + -8x = 1x
54 + 1x = 8 + 8x + -8x

Combine like terms: 8x + -8x = 0
54 + 1x = 8 + 0
54 + 1x = 8

Add '-54' to each side of the equation.
54 + -54 + 1x = 8 + -54

Combine like terms: 54 + -54 = 0
0 + 1x = 8 + -54
1x = 8 + -54

Combine like terms: 8 + -54 = -46
1x = -46

Divide each side by '1'.
x = -46

Simplifying
x = -46

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