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

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


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

Reorder the terms:
-3(-3 + x) + x = -5(-4 + -1x)
(-3 * -3 + x * -3) + x = -5(-4 + -1x)
(9 + -3x) + x = -5(-4 + -1x)

Combine like terms: -3x + x = -2x
9 + -2x = -5(-4 + -1x)
9 + -2x = (-4 * -5 + -1x * -5)
9 + -2x = (20 + 5x)

Solving
9 + -2x = 20 + 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.
9 + -2x + -5x = 20 + 5x + -5x

Combine like terms: -2x + -5x = -7x
9 + -7x = 20 + 5x + -5x

Combine like terms: 5x + -5x = 0
9 + -7x = 20 + 0
9 + -7x = 20

Add '-9' to each side of the equation.
9 + -9 + -7x = 20 + -9

Combine like terms: 9 + -9 = 0
0 + -7x = 20 + -9
-7x = 20 + -9

Combine like terms: 20 + -9 = 11
-7x = 11

Divide each side by '-7'.
x = -1.571428571

Simplifying
x = -1.571428571

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