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

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


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

Reorder the terms:
2(4 + x) + -3(x + -5) = 5 + -3x
(4 * 2 + x * 2) + -3(x + -5) = 5 + -3x
(8 + 2x) + -3(x + -5) = 5 + -3x

Reorder the terms:
8 + 2x + -3(-5 + x) = 5 + -3x
8 + 2x + (-5 * -3 + x * -3) = 5 + -3x
8 + 2x + (15 + -3x) = 5 + -3x

Reorder the terms:
8 + 15 + 2x + -3x = 5 + -3x

Combine like terms: 8 + 15 = 23
23 + 2x + -3x = 5 + -3x

Combine like terms: 2x + -3x = -1x
23 + -1x = 5 + -3x

Solving
23 + -1x = 5 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
23 + -1x + 3x = 5 + -3x + 3x

Combine like terms: -1x + 3x = 2x
23 + 2x = 5 + -3x + 3x

Combine like terms: -3x + 3x = 0
23 + 2x = 5 + 0
23 + 2x = 5

Add '-23' to each side of the equation.
23 + -23 + 2x = 5 + -23

Combine like terms: 23 + -23 = 0
0 + 2x = 5 + -23
2x = 5 + -23

Combine like terms: 5 + -23 = -18
2x = -18

Divide each side by '2'.
x = -9

Simplifying
x = -9

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