6(x-3)-2=-4(-6+3)-6x

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Solution for 6(x-3)-2=-4(-6+3)-6x equation:


Simplifying
6(x + -3) + -2 = -4(-6 + 3) + -6x

Reorder the terms:
6(-3 + x) + -2 = -4(-6 + 3) + -6x
(-3 * 6 + x * 6) + -2 = -4(-6 + 3) + -6x
(-18 + 6x) + -2 = -4(-6 + 3) + -6x

Reorder the terms:
-18 + -2 + 6x = -4(-6 + 3) + -6x

Combine like terms: -18 + -2 = -20
-20 + 6x = -4(-6 + 3) + -6x

Combine like terms: -6 + 3 = -3
-20 + 6x = -4(-3) + -6x

Multiply -4 * -3
-20 + 6x = 12 + -6x

Solving
-20 + 6x = 12 + -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.
-20 + 6x + 6x = 12 + -6x + 6x

Combine like terms: 6x + 6x = 12x
-20 + 12x = 12 + -6x + 6x

Combine like terms: -6x + 6x = 0
-20 + 12x = 12 + 0
-20 + 12x = 12

Add '20' to each side of the equation.
-20 + 20 + 12x = 12 + 20

Combine like terms: -20 + 20 = 0
0 + 12x = 12 + 20
12x = 12 + 20

Combine like terms: 12 + 20 = 32
12x = 32

Divide each side by '12'.
x = 2.666666667

Simplifying
x = 2.666666667

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