3(X+1)-18=2(X-1)-6

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Solution for 3(X+1)-18=2(X-1)-6 equation:


Simplifying
3(X + 1) + -18 = 2(X + -1) + -6

Reorder the terms:
3(1 + X) + -18 = 2(X + -1) + -6
(1 * 3 + X * 3) + -18 = 2(X + -1) + -6
(3 + 3X) + -18 = 2(X + -1) + -6

Reorder the terms:
3 + -18 + 3X = 2(X + -1) + -6

Combine like terms: 3 + -18 = -15
-15 + 3X = 2(X + -1) + -6

Reorder the terms:
-15 + 3X = 2(-1 + X) + -6
-15 + 3X = (-1 * 2 + X * 2) + -6
-15 + 3X = (-2 + 2X) + -6

Reorder the terms:
-15 + 3X = -2 + -6 + 2X

Combine like terms: -2 + -6 = -8
-15 + 3X = -8 + 2X

Solving
-15 + 3X = -8 + 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.
-15 + 3X + -2X = -8 + 2X + -2X

Combine like terms: 3X + -2X = 1X
-15 + 1X = -8 + 2X + -2X

Combine like terms: 2X + -2X = 0
-15 + 1X = -8 + 0
-15 + 1X = -8

Add '15' to each side of the equation.
-15 + 15 + 1X = -8 + 15

Combine like terms: -15 + 15 = 0
0 + 1X = -8 + 15
1X = -8 + 15

Combine like terms: -8 + 15 = 7
1X = 7

Divide each side by '1'.
X = 7

Simplifying
X = 7

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