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

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


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

Reorder the terms:
4(-3 + x) + -6 = -2x
(-3 * 4 + x * 4) + -6 = -2x
(-12 + 4x) + -6 = -2x

Reorder the terms:
-12 + -6 + 4x = -2x

Combine like terms: -12 + -6 = -18
-18 + 4x = -2x

Solving
-18 + 4x = -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-18 + 4x + 2x = -2x + 2x

Combine like terms: 4x + 2x = 6x
-18 + 6x = -2x + 2x

Combine like terms: -2x + 2x = 0
-18 + 6x = 0

Add '18' to each side of the equation.
-18 + 18 + 6x = 0 + 18

Combine like terms: -18 + 18 = 0
0 + 6x = 0 + 18
6x = 0 + 18

Combine like terms: 0 + 18 = 18
6x = 18

Divide each side by '6'.
x = 3

Simplifying
x = 3

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