3(x-2)-6=x-24

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Solution for 3(x-2)-6=x-24 equation:


Simplifying
3(x + -2) + -6 = x + -24

Reorder the terms:
3(-2 + x) + -6 = x + -24
(-2 * 3 + x * 3) + -6 = x + -24
(-6 + 3x) + -6 = x + -24

Reorder the terms:
-6 + -6 + 3x = x + -24

Combine like terms: -6 + -6 = -12
-12 + 3x = x + -24

Reorder the terms:
-12 + 3x = -24 + x

Solving
-12 + 3x = -24 + 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 = -24 + x + -1x

Combine like terms: 3x + -1x = 2x
-12 + 2x = -24 + x + -1x

Combine like terms: x + -1x = 0
-12 + 2x = -24 + 0
-12 + 2x = -24

Add '12' to each side of the equation.
-12 + 12 + 2x = -24 + 12

Combine like terms: -12 + 12 = 0
0 + 2x = -24 + 12
2x = -24 + 12

Combine like terms: -24 + 12 = -12
2x = -12

Divide each side by '2'.
x = -6

Simplifying
x = -6

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