3(x-5)+2x=9-6x

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Solution for 3(x-5)+2x=9-6x equation:


Simplifying
3(x + -5) + 2x = 9 + -6x

Reorder the terms:
3(-5 + x) + 2x = 9 + -6x
(-5 * 3 + x * 3) + 2x = 9 + -6x
(-15 + 3x) + 2x = 9 + -6x

Combine like terms: 3x + 2x = 5x
-15 + 5x = 9 + -6x

Solving
-15 + 5x = 9 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-15 + 5x + 6x = 9 + -6x + 6x

Combine like terms: 5x + 6x = 11x
-15 + 11x = 9 + -6x + 6x

Combine like terms: -6x + 6x = 0
-15 + 11x = 9 + 0
-15 + 11x = 9

Add '15' to each side of the equation.
-15 + 15 + 11x = 9 + 15

Combine like terms: -15 + 15 = 0
0 + 11x = 9 + 15
11x = 9 + 15

Combine like terms: 9 + 15 = 24
11x = 24

Divide each side by '11'.
x = 2.181818182

Simplifying
x = 2.181818182

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