-3(X+4)+5(X+2)=10

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Solution for -3(X+4)+5(X+2)=10 equation: 


Simplifying
-3(X + 4) + 5(X + 2) = 10

Reorder the terms:
-3(4 + X) + 5(X + 2) = 10
(4 * -3 + X * -3) + 5(X + 2) = 10
(-12 + -3X) + 5(X + 2) = 10

Reorder the terms:
-12 + -3X + 5(2 + X) = 10
-12 + -3X + (2 * 5 + X * 5) = 10
-12 + -3X + (10 + 5X) = 10

Reorder the terms:
-12 + 10 + -3X + 5X = 10

Combine like terms: -12 + 10 = -2
-2 + -3X + 5X = 10

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

Solving
-2 + 2X = 10

Solving for variable 'X'.

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

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

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

Combine like terms: 10 + 2 = 12
2X = 12

Divide each side by '2'.
X = 6

Simplifying
X = 6

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