3(X+6)-5(X-2)=10

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Solution for 3(X+6)-5(X-2)=10 equation: 


Simplifying
3(X + 6) + -5(X + -2) = 10

Reorder the terms:
3(6 + X) + -5(X + -2) = 10
(6 * 3 + X * 3) + -5(X + -2) = 10
(18 + 3X) + -5(X + -2) = 10

Reorder the terms:
18 + 3X + -5(-2 + X) = 10
18 + 3X + (-2 * -5 + X * -5) = 10
18 + 3X + (10 + -5X) = 10

Reorder the terms:
18 + 10 + 3X + -5X = 10

Combine like terms: 18 + 10 = 28
28 + 3X + -5X = 10

Combine like terms: 3X + -5X = -2X
28 + -2X = 10

Solving
28 + -2X = 10

Solving for variable 'X'.

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

Add '-28' to each side of the equation.
28 + -28 + -2X = 10 + -28

Combine like terms: 28 + -28 = 0
0 + -2X = 10 + -28
-2X = 10 + -28

Combine like terms: 10 + -28 = -18
-2X = -18

Divide each side by '-2'.
X = 9

Simplifying
X = 9

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