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 = 6
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2

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