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

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


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

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

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

Solving
18 + 6x = -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 + 6x + -2x = -6 + 2x + -2x

Combine like terms: 6x + -2x = 4x
18 + 4x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
18 + 4x = -6 + 0
18 + 4x = -6

Add '-18' to each side of the equation.
18 + -18 + 4x = -6 + -18

Combine like terms: 18 + -18 = 0
0 + 4x = -6 + -18
4x = -6 + -18

Combine like terms: -6 + -18 = -24
4x = -24

Divide each side by '4'.
x = -6

Simplifying
x = -6

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