15-x-5(2x-1)=3(3x-5)

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


Simplifying
15 + -1x + -5(2x + -1) = 3(3x + -5)

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

Reorder the terms:
15 + 5 + -1x + -10x = 3(3x + -5)

Combine like terms: 15 + 5 = 20
20 + -1x + -10x = 3(3x + -5)

Combine like terms: -1x + -10x = -11x
20 + -11x = 3(3x + -5)

Reorder the terms:
20 + -11x = 3(-5 + 3x)
20 + -11x = (-5 * 3 + 3x * 3)
20 + -11x = (-15 + 9x)

Solving
20 + -11x = -15 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
20 + -11x + -9x = -15 + 9x + -9x

Combine like terms: -11x + -9x = -20x
20 + -20x = -15 + 9x + -9x

Combine like terms: 9x + -9x = 0
20 + -20x = -15 + 0
20 + -20x = -15

Add '-20' to each side of the equation.
20 + -20 + -20x = -15 + -20

Combine like terms: 20 + -20 = 0
0 + -20x = -15 + -20
-20x = -15 + -20

Combine like terms: -15 + -20 = -35
-20x = -35

Divide each side by '-20'.
x = 1.75

Simplifying
x = 1.75

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