5(2X-1)=10(3X-3)-15

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Solution for 5(2X-1)=10(3X-3)-15 equation: 


Simplifying
5(2X + -1) = 10(3X + -3) + -15

Reorder the terms:
5(-1 + 2X) = 10(3X + -3) + -15
(-1 * 5 + 2X * 5) = 10(3X + -3) + -15
(-5 + 10X) = 10(3X + -3) + -15

Reorder the terms:
-5 + 10X = 10(-3 + 3X) + -15
-5 + 10X = (-3 * 10 + 3X * 10) + -15
-5 + 10X = (-30 + 30X) + -15

Reorder the terms:
-5 + 10X = -30 + -15 + 30X

Combine like terms: -30 + -15 = -45
-5 + 10X = -45 + 30X

Solving
-5 + 10X = -45 + 30X

Solving for variable 'X'.

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

Add '-30X' to each side of the equation.
-5 + 10X + -30X = -45 + 30X + -30X

Combine like terms: 10X + -30X = -20X
-5 + -20X = -45 + 30X + -30X

Combine like terms: 30X + -30X = 0
-5 + -20X = -45 + 0
-5 + -20X = -45

Add '5' to each side of the equation.
-5 + 5 + -20X = -45 + 5

Combine like terms: -5 + 5 = 0
0 + -20X = -45 + 5
-20X = -45 + 5

Combine like terms: -45 + 5 = -40
-20X = -40

Divide each side by '-20'.
X = 2

Simplifying
X = 2

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