x-6=3(x+4)

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


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

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

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

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

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

Combine like terms: 3x + -3x = 0
-6 + -2x = 12 + 0
-6 + -2x = 12

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

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

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

Divide each side by '-2'.
x = -9

Simplifying
x = -9

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