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

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


Simplifying
(3x + 2) + -6 + -1(x + -2) = 4x

Reorder the terms:
(2 + 3x) + -6 + -1(x + -2) = 4x

Remove parenthesis around (2 + 3x)
2 + 3x + -6 + -1(x + -2) = 4x

Reorder the terms:
2 + 3x + -6 + -1(-2 + x) = 4x
2 + 3x + -6 + (-2 * -1 + x * -1) = 4x
2 + 3x + -6 + (2 + -1x) = 4x

Reorder the terms:
2 + -6 + 2 + 3x + -1x = 4x

Combine like terms: 2 + -6 = -4
-4 + 2 + 3x + -1x = 4x

Combine like terms: -4 + 2 = -2
-2 + 3x + -1x = 4x

Combine like terms: 3x + -1x = 2x
-2 + 2x = 4x

Solving
-2 + 2x = 4x

Solving for variable 'x'.

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

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

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

Combine like terms: 4x + -4x = 0
-2 + -2x = 0

Add '2' to each side of the equation.
-2 + 2 + -2x = 0 + 2

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

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

Divide each side by '-2'.
x = -1

Simplifying
x = -1

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