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

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


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

Reorder the terms:
2(-3 + X) + -1(5 + -3X) = 10
(-3 * 2 + X * 2) + -1(5 + -3X) = 10
(-6 + 2X) + -1(5 + -3X) = 10
-6 + 2X + (5 * -1 + -3X * -1) = 10
-6 + 2X + (-5 + 3X) = 10

Reorder the terms:
-6 + -5 + 2X + 3X = 10

Combine like terms: -6 + -5 = -11
-11 + 2X + 3X = 10

Combine like terms: 2X + 3X = 5X
-11 + 5X = 10

Solving
-11 + 5X = 10

Solving for variable 'X'.

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

Add '11' to each side of the equation.
-11 + 11 + 5X = 10 + 11

Combine like terms: -11 + 11 = 0
0 + 5X = 10 + 11
5X = 10 + 11

Combine like terms: 10 + 11 = 21
5X = 21

Divide each side by '5'.
X = 4.2

Simplifying
X = 4.2

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