3(4-3)-(X+7)=5(10-X)+2

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Solution for 3(4-3)-(X+7)=5(10-X)+2 equation: 


Simplifying
3(4 + -3) + -1(X + 7) = 5(10 + -1X) + 2

Combine like terms: 4 + -3 = 1
3(1) + -1(X + 7) = 5(10 + -1X) + 2

Multiply 3 * 1
3 + -1(X + 7) = 5(10 + -1X) + 2

Reorder the terms:
3 + -1(7 + X) = 5(10 + -1X) + 2
3 + (7 * -1 + X * -1) = 5(10 + -1X) + 2
3 + (-7 + -1X) = 5(10 + -1X) + 2

Combine like terms: 3 + -7 = -4
-4 + -1X = 5(10 + -1X) + 2
-4 + -1X = (10 * 5 + -1X * 5) + 2
-4 + -1X = (50 + -5X) + 2

Reorder the terms:
-4 + -1X = 50 + 2 + -5X

Combine like terms: 50 + 2 = 52
-4 + -1X = 52 + -5X

Solving
-4 + -1X = 52 + -5X

Solving for variable 'X'.

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

Add '5X' to each side of the equation.
-4 + -1X + 5X = 52 + -5X + 5X

Combine like terms: -1X + 5X = 4X
-4 + 4X = 52 + -5X + 5X

Combine like terms: -5X + 5X = 0
-4 + 4X = 52 + 0
-4 + 4X = 52

Add '4' to each side of the equation.
-4 + 4 + 4X = 52 + 4

Combine like terms: -4 + 4 = 0
0 + 4X = 52 + 4
4X = 52 + 4

Combine like terms: 52 + 4 = 56
4X = 56

Divide each side by '4'.
X = 14

Simplifying
X = 14

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