6(3x+1)-30=3(2x-4)

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Solution for 6(3x+1)-30=3(2x-4) equation: 


Simplifying
6(3x + 1) + -30 = 3(2x + -4)

Reorder the terms:
6(1 + 3x) + -30 = 3(2x + -4)
(1 * 6 + 3x * 6) + -30 = 3(2x + -4)
(6 + 18x) + -30 = 3(2x + -4)

Reorder the terms:
6 + -30 + 18x = 3(2x + -4)

Combine like terms: 6 + -30 = -24
-24 + 18x = 3(2x + -4)

Reorder the terms:
-24 + 18x = 3(-4 + 2x)
-24 + 18x = (-4 * 3 + 2x * 3)
-24 + 18x = (-12 + 6x)

Solving
-24 + 18x = -12 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-24 + 18x + -6x = -12 + 6x + -6x

Combine like terms: 18x + -6x = 12x
-24 + 12x = -12 + 6x + -6x

Combine like terms: 6x + -6x = 0
-24 + 12x = -12 + 0
-24 + 12x = -12

Add '24' to each side of the equation.
-24 + 24 + 12x = -12 + 24

Combine like terms: -24 + 24 = 0
0 + 12x = -12 + 24
12x = -12 + 24

Combine like terms: -12 + 24 = 12
12x = 12

Divide each side by '12'.
x = 1

Simplifying
x = 1

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