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

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


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

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

Reorder the terms:
18 + 3X = 2(-2 + X)
18 + 3X = (-2 * 2 + X * 2)
18 + 3X = (-4 + 2X)

Solving
18 + 3X = -4 + 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 = -4 + 2X + -2X

Combine like terms: 3X + -2X = 1X
18 + 1X = -4 + 2X + -2X

Combine like terms: 2X + -2X = 0
18 + 1X = -4 + 0
18 + 1X = -4

Add '-18' to each side of the equation.
18 + -18 + 1X = -4 + -18

Combine like terms: 18 + -18 = 0
0 + 1X = -4 + -18
1X = -4 + -18

Combine like terms: -4 + -18 = -22
1X = -22

Divide each side by '1'.
X = -22

Simplifying
X = -22

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