12-48=3(x-4)-6

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Solution for 12-48=3(x-4)-6 equation:


Simplifying
12 + -48 = 3(x + -4) + -6

Combine like terms: 12 + -48 = -36
-36 = 3(x + -4) + -6

Reorder the terms:
-36 = 3(-4 + x) + -6
-36 = (-4 * 3 + x * 3) + -6
-36 = (-12 + 3x) + -6

Reorder the terms:
-36 = -12 + -6 + 3x

Combine like terms: -12 + -6 = -18
-36 = -18 + 3x

Solving
-36 = -18 + 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.
-36 + -3x = -18 + 3x + -3x

Combine like terms: 3x + -3x = 0
-36 + -3x = -18 + 0
-36 + -3x = -18

Add '36' to each side of the equation.
-36 + 36 + -3x = -18 + 36

Combine like terms: -36 + 36 = 0
0 + -3x = -18 + 36
-3x = -18 + 36

Combine like terms: -18 + 36 = 18
-3x = 18

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

Simplifying
x = -6

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