4(x-3)-x=x*6

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


Simplifying
4(x + -3) + -1x = x * 6

Reorder the terms:
4(-3 + x) + -1x = x * 6
(-3 * 4 + x * 4) + -1x = x * 6
(-12 + 4x) + -1x = x * 6

Combine like terms: 4x + -1x = 3x
-12 + 3x = x * 6

Reorder the terms for easier multiplication:
-12 + 3x = 6x

Solving
-12 + 3x = 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.
-12 + 3x + -6x = 6x + -6x

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

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

Add '12' to each side of the equation.
-12 + 12 + -3x = 0 + 12

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

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

Divide each side by '-3'.
x = -4

Simplifying
x = -4

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