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

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


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

Reorder the terms:
4(-2 + x) + -6 = -2(x + 3)
(-2 * 4 + x * 4) + -6 = -2(x + 3)
(-8 + 4x) + -6 = -2(x + 3)

Reorder the terms:
-8 + -6 + 4x = -2(x + 3)

Combine like terms: -8 + -6 = -14
-14 + 4x = -2(x + 3)

Reorder the terms:
-14 + 4x = -2(3 + x)
-14 + 4x = (3 * -2 + x * -2)
-14 + 4x = (-6 + -2x)

Solving
-14 + 4x = -6 + -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.
-14 + 4x + 2x = -6 + -2x + 2x

Combine like terms: 4x + 2x = 6x
-14 + 6x = -6 + -2x + 2x

Combine like terms: -2x + 2x = 0
-14 + 6x = -6 + 0
-14 + 6x = -6

Add '14' to each side of the equation.
-14 + 14 + 6x = -6 + 14

Combine like terms: -14 + 14 = 0
0 + 6x = -6 + 14
6x = -6 + 14

Combine like terms: -6 + 14 = 8
6x = 8

Divide each side by '6'.
x = 1.333333333

Simplifying
x = 1.333333333

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