2x+3(x-8)=9-5x

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Solution for 2x+3(x-8)=9-5x equation:


Simplifying
2x + 3(x + -8) = 9 + -5x

Reorder the terms:
2x + 3(-8 + x) = 9 + -5x
2x + (-8 * 3 + x * 3) = 9 + -5x
2x + (-24 + 3x) = 9 + -5x

Reorder the terms:
-24 + 2x + 3x = 9 + -5x

Combine like terms: 2x + 3x = 5x
-24 + 5x = 9 + -5x

Solving
-24 + 5x = 9 + -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.
-24 + 5x + 5x = 9 + -5x + 5x

Combine like terms: 5x + 5x = 10x
-24 + 10x = 9 + -5x + 5x

Combine like terms: -5x + 5x = 0
-24 + 10x = 9 + 0
-24 + 10x = 9

Add '24' to each side of the equation.
-24 + 24 + 10x = 9 + 24

Combine like terms: -24 + 24 = 0
0 + 10x = 9 + 24
10x = 9 + 24

Combine like terms: 9 + 24 = 33
10x = 33

Divide each side by '10'.
x = 3.3

Simplifying
x = 3.3

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