3(2x+4)+3x=x-6

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Solution for 3(2x+4)+3x=x-6 equation:


Simplifying
3(2x + 4) + 3x = x + -6

Reorder the terms:
3(4 + 2x) + 3x = x + -6
(4 * 3 + 2x * 3) + 3x = x + -6
(12 + 6x) + 3x = x + -6

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

Reorder the terms:
12 + 9x = -6 + x

Solving
12 + 9x = -6 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
12 + 9x + -1x = -6 + x + -1x

Combine like terms: 9x + -1x = 8x
12 + 8x = -6 + x + -1x

Combine like terms: x + -1x = 0
12 + 8x = -6 + 0
12 + 8x = -6

Add '-12' to each side of the equation.
12 + -12 + 8x = -6 + -12

Combine like terms: 12 + -12 = 0
0 + 8x = -6 + -12
8x = -6 + -12

Combine like terms: -6 + -12 = -18
8x = -18

Divide each side by '8'.
x = -2.25

Simplifying
x = -2.25

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