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

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


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

Reorder the terms:
6(2 + 3x) = 2(30 + -3x)
(2 * 6 + 3x * 6) = 2(30 + -3x)
(12 + 18x) = 2(30 + -3x)
12 + 18x = (30 * 2 + -3x * 2)
12 + 18x = (60 + -6x)

Solving
12 + 18x = 60 + -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.
12 + 18x + 6x = 60 + -6x + 6x

Combine like terms: 18x + 6x = 24x
12 + 24x = 60 + -6x + 6x

Combine like terms: -6x + 6x = 0
12 + 24x = 60 + 0
12 + 24x = 60

Add '-12' to each side of the equation.
12 + -12 + 24x = 60 + -12

Combine like terms: 12 + -12 = 0
0 + 24x = 60 + -12
24x = 60 + -12

Combine like terms: 60 + -12 = 48
24x = 48

Divide each side by '24'.
x = 2

Simplifying
x = 2

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