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

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


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

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

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

Reorder the terms:
18 + 3x = 2(3 + x)
18 + 3x = (3 * 2 + x * 2)
18 + 3x = (6 + 2x)

Solving
18 + 3x = 6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
18 + 3x + -2x = 6 + 2x + -2x

Combine like terms: 3x + -2x = 1x
18 + 1x = 6 + 2x + -2x

Combine like terms: 2x + -2x = 0
18 + 1x = 6 + 0
18 + 1x = 6

Add '-18' to each side of the equation.
18 + -18 + 1x = 6 + -18

Combine like terms: 18 + -18 = 0
0 + 1x = 6 + -18
1x = 6 + -18

Combine like terms: 6 + -18 = -12
1x = -12

Divide each side by '1'.
x = -12

Simplifying
x = -12

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