2X-5(X-3)=-4+5X-21

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Solution for 2X-5(X-3)=-4+5X-21 equation: 


Simplifying
2X + -5(X + -3) = -4 + 5X + -21

Reorder the terms:
2X + -5(-3 + X) = -4 + 5X + -21
2X + (-3 * -5 + X * -5) = -4 + 5X + -21
2X + (15 + -5X) = -4 + 5X + -21

Reorder the terms:
15 + 2X + -5X = -4 + 5X + -21

Combine like terms: 2X + -5X = -3X
15 + -3X = -4 + 5X + -21

Reorder the terms:
15 + -3X = -4 + -21 + 5X

Combine like terms: -4 + -21 = -25
15 + -3X = -25 + 5X

Solving
15 + -3X = -25 + 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.
15 + -3X + -5X = -25 + 5X + -5X

Combine like terms: -3X + -5X = -8X
15 + -8X = -25 + 5X + -5X

Combine like terms: 5X + -5X = 0
15 + -8X = -25 + 0
15 + -8X = -25

Add '-15' to each side of the equation.
15 + -15 + -8X = -25 + -15

Combine like terms: 15 + -15 = 0
0 + -8X = -25 + -15
-8X = -25 + -15

Combine like terms: -25 + -15 = -40
-8X = -40

Divide each side by '-8'.
X = 5

Simplifying
X = 5

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