4(x+3)=x-6

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


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

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

Reorder the terms:
12 + 4x = -6 + x

Solving
12 + 4x = -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 + 4x + -1x = -6 + x + -1x

Combine like terms: 4x + -1x = 3x
12 + 3x = -6 + x + -1x

Combine like terms: x + -1x = 0
12 + 3x = -6 + 0
12 + 3x = -6

Add '-12' to each side of the equation.
12 + -12 + 3x = -6 + -12

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

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

Divide each side by '3'.
x = -6

Simplifying
x = -6

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