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

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


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

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

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

Reorder the terms:
-9 + 6 + 3x + 3x = 9 + -5x

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

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

Solving
-3 + 6x = 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.
-3 + 6x + 5x = 9 + -5x + 5x

Combine like terms: 6x + 5x = 11x
-3 + 11x = 9 + -5x + 5x

Combine like terms: -5x + 5x = 0
-3 + 11x = 9 + 0
-3 + 11x = 9

Add '3' to each side of the equation.
-3 + 3 + 11x = 9 + 3

Combine like terms: -3 + 3 = 0
0 + 11x = 9 + 3
11x = 9 + 3

Combine like terms: 9 + 3 = 12
11x = 12

Divide each side by '11'.
x = 1.090909091

Simplifying
x = 1.090909091

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