2(3x+3)-4(5x-3)=x(x-3)-x(x-5)

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


Simplifying
2(3x + 3) + -4(5x + -3) = x(x + -3) + -1x(x + -5)

Reorder the terms:
2(3 + 3x) + -4(5x + -3) = x(x + -3) + -1x(x + -5)
(3 * 2 + 3x * 2) + -4(5x + -3) = x(x + -3) + -1x(x + -5)
(6 + 6x) + -4(5x + -3) = x(x + -3) + -1x(x + -5)

Reorder the terms:
6 + 6x + -4(-3 + 5x) = x(x + -3) + -1x(x + -5)
6 + 6x + (-3 * -4 + 5x * -4) = x(x + -3) + -1x(x + -5)
6 + 6x + (12 + -20x) = x(x + -3) + -1x(x + -5)

Reorder the terms:
6 + 12 + 6x + -20x = x(x + -3) + -1x(x + -5)

Combine like terms: 6 + 12 = 18
18 + 6x + -20x = x(x + -3) + -1x(x + -5)

Combine like terms: 6x + -20x = -14x
18 + -14x = x(x + -3) + -1x(x + -5)

Reorder the terms:
18 + -14x = x(-3 + x) + -1x(x + -5)
18 + -14x = (-3 * x + x * x) + -1x(x + -5)
18 + -14x = (-3x + x2) + -1x(x + -5)

Reorder the terms:
18 + -14x = -3x + x2 + -1x(-5 + x)
18 + -14x = -3x + x2 + (-5 * -1x + x * -1x)
18 + -14x = -3x + x2 + (5x + -1x2)

Reorder the terms:
18 + -14x = -3x + 5x + x2 + -1x2

Combine like terms: -3x + 5x = 2x
18 + -14x = 2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
18 + -14x = 2x + 0
18 + -14x = 2x

Solving
18 + -14x = 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
18 + -14x + -2x = 2x + -2x

Combine like terms: -14x + -2x = -16x
18 + -16x = 2x + -2x

Combine like terms: 2x + -2x = 0
18 + -16x = 0

Add '-18' to each side of the equation.
18 + -18 + -16x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -16x = 0 + -18
-16x = 0 + -18

Combine like terms: 0 + -18 = -18
-16x = -18

Divide each side by '-16'.
x = 1.125

Simplifying
x = 1.125

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