3x+2(3x-6)=5-8x

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Solution for 3x+2(3x-6)=5-8x equation:


Simplifying
3x + 2(3x + -6) = 5 + -8x

Reorder the terms:
3x + 2(-6 + 3x) = 5 + -8x
3x + (-6 * 2 + 3x * 2) = 5 + -8x
3x + (-12 + 6x) = 5 + -8x

Reorder the terms:
-12 + 3x + 6x = 5 + -8x

Combine like terms: 3x + 6x = 9x
-12 + 9x = 5 + -8x

Solving
-12 + 9x = 5 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-12 + 9x + 8x = 5 + -8x + 8x

Combine like terms: 9x + 8x = 17x
-12 + 17x = 5 + -8x + 8x

Combine like terms: -8x + 8x = 0
-12 + 17x = 5 + 0
-12 + 17x = 5

Add '12' to each side of the equation.
-12 + 12 + 17x = 5 + 12

Combine like terms: -12 + 12 = 0
0 + 17x = 5 + 12
17x = 5 + 12

Combine like terms: 5 + 12 = 17
17x = 17

Divide each side by '17'.
x = 1

Simplifying
x = 1

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