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

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


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

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

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

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

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

Solving
-12 + 3x = 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 + 3x + -1x = 6 + x + -1x

Combine like terms: 3x + -1x = 2x
-12 + 2x = 6 + x + -1x

Combine like terms: x + -1x = 0
-12 + 2x = 6 + 0
-12 + 2x = 6

Add '12' to each side of the equation.
-12 + 12 + 2x = 6 + 12

Combine like terms: -12 + 12 = 0
0 + 2x = 6 + 12
2x = 6 + 12

Combine like terms: 6 + 12 = 18
2x = 18

Divide each side by '2'.
x = 9

Simplifying
x = 9

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