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

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


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

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

Reorder the terms for easier multiplication:
X + -1 * 3(-1 + 2X) = (3X + -5) * 5

Multiply -1 * 3
X + -3(-1 + 2X) = (3X + -5) * 5
X + (-1 * -3 + 2X * -3) = (3X + -5) * 5
X + (3 + -6X) = (3X + -5) * 5

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

Combine like terms: X + -6X = -5X
3 + -5X = (3X + -5) * 5

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

Reorder the terms for easier multiplication:
3 + -5X = 5(-5 + 3X)
3 + -5X = (-5 * 5 + 3X * 5)
3 + -5X = (-25 + 15X)

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

Solving for variable 'X'.

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

Add '-15X' to each side of the equation.
3 + -5X + -15X = -25 + 15X + -15X

Combine like terms: -5X + -15X = -20X
3 + -20X = -25 + 15X + -15X

Combine like terms: 15X + -15X = 0
3 + -20X = -25 + 0
3 + -20X = -25

Add '-3' to each side of the equation.
3 + -3 + -20X = -25 + -3

Combine like terms: 3 + -3 = 0
0 + -20X = -25 + -3
-20X = -25 + -3

Combine like terms: -25 + -3 = -28
-20X = -28

Divide each side by '-20'.
X = 1.4

Simplifying
X = 1.4

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