2(X-7)-3(12-X)=10

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Solution for 2(X-7)-3(12-X)=10 equation: 


Simplifying
2(X + -7) + -3(12 + -1X) = 10

Reorder the terms:
2(-7 + X) + -3(12 + -1X) = 10
(-7 * 2 + X * 2) + -3(12 + -1X) = 10
(-14 + 2X) + -3(12 + -1X) = 10
-14 + 2X + (12 * -3 + -1X * -3) = 10
-14 + 2X + (-36 + 3X) = 10

Reorder the terms:
-14 + -36 + 2X + 3X = 10

Combine like terms: -14 + -36 = -50
-50 + 2X + 3X = 10

Combine like terms: 2X + 3X = 5X
-50 + 5X = 10

Solving
-50 + 5X = 10

Solving for variable 'X'.

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

Add '50' to each side of the equation.
-50 + 50 + 5X = 10 + 50

Combine like terms: -50 + 50 = 0
0 + 5X = 10 + 50
5X = 10 + 50

Combine like terms: 10 + 50 = 60
5X = 60

Divide each side by '5'.
X = 12

Simplifying
X = 12

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