2x+3(3x-4)=8-9x

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Solution for 2x+3(3x-4)=8-9x equation:


Simplifying
2x + 3(3x + -4) = 8 + -9x

Reorder the terms:
2x + 3(-4 + 3x) = 8 + -9x
2x + (-4 * 3 + 3x * 3) = 8 + -9x
2x + (-12 + 9x) = 8 + -9x

Reorder the terms:
-12 + 2x + 9x = 8 + -9x

Combine like terms: 2x + 9x = 11x
-12 + 11x = 8 + -9x

Solving
-12 + 11x = 8 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
-12 + 11x + 9x = 8 + -9x + 9x

Combine like terms: 11x + 9x = 20x
-12 + 20x = 8 + -9x + 9x

Combine like terms: -9x + 9x = 0
-12 + 20x = 8 + 0
-12 + 20x = 8

Add '12' to each side of the equation.
-12 + 12 + 20x = 8 + 12

Combine like terms: -12 + 12 = 0
0 + 20x = 8 + 12
20x = 8 + 12

Combine like terms: 8 + 12 = 20
20x = 20

Divide each side by '20'.
x = 1

Simplifying
x = 1

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