6[3-(-3x-1)]=108x+54

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Solution for 6[3-(-3x-1)]=108x+54 equation:


Simplifying
6[3 + -1(-3x + -1)] = 108x + 54

Reorder the terms:
6[3 + -1(-1 + -3x)] = 108x + 54
6[3 + (-1 * -1 + -3x * -1)] = 108x + 54
6[3 + (1 + 3x)] = 108x + 54

Combine like terms: 3 + 1 = 4
6[4 + 3x] = 108x + 54
[4 * 6 + 3x * 6] = 108x + 54
[24 + 18x] = 108x + 54

Reorder the terms:
24 + 18x = 54 + 108x

Solving
24 + 18x = 54 + 108x

Solving for variable 'x'.

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

Add '-108x' to each side of the equation.
24 + 18x + -108x = 54 + 108x + -108x

Combine like terms: 18x + -108x = -90x
24 + -90x = 54 + 108x + -108x

Combine like terms: 108x + -108x = 0
24 + -90x = 54 + 0
24 + -90x = 54

Add '-24' to each side of the equation.
24 + -24 + -90x = 54 + -24

Combine like terms: 24 + -24 = 0
0 + -90x = 54 + -24
-90x = 54 + -24

Combine like terms: 54 + -24 = 30
-90x = 30

Divide each side by '-90'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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