-3(x-4)+6=3x+9

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Solution for -3(x-4)+6=3x+9 equation:


Simplifying
-3(x + -4) + 6 = 3x + 9

Reorder the terms:
-3(-4 + x) + 6 = 3x + 9
(-4 * -3 + x * -3) + 6 = 3x + 9
(12 + -3x) + 6 = 3x + 9

Reorder the terms:
12 + 6 + -3x = 3x + 9

Combine like terms: 12 + 6 = 18
18 + -3x = 3x + 9

Reorder the terms:
18 + -3x = 9 + 3x

Solving
18 + -3x = 9 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
18 + -3x + -3x = 9 + 3x + -3x

Combine like terms: -3x + -3x = -6x
18 + -6x = 9 + 3x + -3x

Combine like terms: 3x + -3x = 0
18 + -6x = 9 + 0
18 + -6x = 9

Add '-18' to each side of the equation.
18 + -18 + -6x = 9 + -18

Combine like terms: 18 + -18 = 0
0 + -6x = 9 + -18
-6x = 9 + -18

Combine like terms: 9 + -18 = -9
-6x = -9

Divide each side by '-6'.
x = 1.5

Simplifying
x = 1.5

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