-2(X-3)=5X-8

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Solution for -2(X-3)=5X-8 equation: 


Simplifying
-2(X + -3) = 5X + -8

Reorder the terms:
-2(-3 + X) = 5X + -8
(-3 * -2 + X * -2) = 5X + -8
(6 + -2X) = 5X + -8

Reorder the terms:
6 + -2X = -8 + 5X

Solving
6 + -2X = -8 + 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.
6 + -2X + -5X = -8 + 5X + -5X

Combine like terms: -2X + -5X = -7X
6 + -7X = -8 + 5X + -5X

Combine like terms: 5X + -5X = 0
6 + -7X = -8 + 0
6 + -7X = -8

Add '-6' to each side of the equation.
6 + -6 + -7X = -8 + -6

Combine like terms: 6 + -6 = 0
0 + -7X = -8 + -6
-7X = -8 + -6

Combine like terms: -8 + -6 = -14
-7X = -14

Divide each side by '-7'.
X = 2

Simplifying
X = 2

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