8-3(x+6)=3x+12

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Solution for 8-3(x+6)=3x+12 equation:


Simplifying
8 + -3(x + 6) = 3x + 12

Reorder the terms:
8 + -3(6 + x) = 3x + 12
8 + (6 * -3 + x * -3) = 3x + 12
8 + (-18 + -3x) = 3x + 12

Combine like terms: 8 + -18 = -10
-10 + -3x = 3x + 12

Reorder the terms:
-10 + -3x = 12 + 3x

Solving
-10 + -3x = 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.
-10 + -3x + -3x = 12 + 3x + -3x

Combine like terms: -3x + -3x = -6x
-10 + -6x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
-10 + -6x = 12 + 0
-10 + -6x = 12

Add '10' to each side of the equation.
-10 + 10 + -6x = 12 + 10

Combine like terms: -10 + 10 = 0
0 + -6x = 12 + 10
-6x = 12 + 10

Combine like terms: 12 + 10 = 22
-6x = 22

Divide each side by '-6'.
x = -3.666666667

Simplifying
x = -3.666666667

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