3(x-4)=x-6

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


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

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

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

Solving
-12 + 3x = -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 + 3x + -1x = -6 + x + -1x

Combine like terms: 3x + -1x = 2x
-12 + 2x = -6 + x + -1x

Combine like terms: x + -1x = 0
-12 + 2x = -6 + 0
-12 + 2x = -6

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

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

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

Divide each side by '2'.
x = 3

Simplifying
x = 3

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