-5(X+3)=2(3-2X)-15

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Solution for -5(X+3)=2(3-2X)-15 equation: 


Simplifying
-5(X + 3) = 2(3 + -2X) + -15

Reorder the terms:
-5(3 + X) = 2(3 + -2X) + -15
(3 * -5 + X * -5) = 2(3 + -2X) + -15
(-15 + -5X) = 2(3 + -2X) + -15
-15 + -5X = (3 * 2 + -2X * 2) + -15
-15 + -5X = (6 + -4X) + -15

Reorder the terms:
-15 + -5X = 6 + -15 + -4X

Combine like terms: 6 + -15 = -9
-15 + -5X = -9 + -4X

Solving
-15 + -5X = -9 + -4X

Solving for variable 'X'.

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

Add '4X' to each side of the equation.
-15 + -5X + 4X = -9 + -4X + 4X

Combine like terms: -5X + 4X = -1X
-15 + -1X = -9 + -4X + 4X

Combine like terms: -4X + 4X = 0
-15 + -1X = -9 + 0
-15 + -1X = -9

Add '15' to each side of the equation.
-15 + 15 + -1X = -9 + 15

Combine like terms: -15 + 15 = 0
0 + -1X = -9 + 15
-1X = -9 + 15

Combine like terms: -9 + 15 = 6
-1X = 6

Divide each side by '-1'.
X = -6

Simplifying
X = -6

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