3(-x+5+3)=-2(5x-9)

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Solution for 3(-x+5+3)=-2(5x-9) equation:


Simplifying
3(-1x + 5 + 3) = -2(5x + -9)

Reorder the terms:
3(5 + 3 + -1x) = -2(5x + -9)

Combine like terms: 5 + 3 = 8
3(8 + -1x) = -2(5x + -9)
(8 * 3 + -1x * 3) = -2(5x + -9)
(24 + -3x) = -2(5x + -9)

Reorder the terms:
24 + -3x = -2(-9 + 5x)
24 + -3x = (-9 * -2 + 5x * -2)
24 + -3x = (18 + -10x)

Solving
24 + -3x = 18 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
24 + -3x + 10x = 18 + -10x + 10x

Combine like terms: -3x + 10x = 7x
24 + 7x = 18 + -10x + 10x

Combine like terms: -10x + 10x = 0
24 + 7x = 18 + 0
24 + 7x = 18

Add '-24' to each side of the equation.
24 + -24 + 7x = 18 + -24

Combine like terms: 24 + -24 = 0
0 + 7x = 18 + -24
7x = 18 + -24

Combine like terms: 18 + -24 = -6
7x = -6

Divide each side by '7'.
x = -0.8571428571

Simplifying
x = -0.8571428571

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