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

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


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

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

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

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

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

Solving
-4 + x = 2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-4 + x + -3x = 2 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
-4 + -2x = 2 + 0
-4 + -2x = 2

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

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

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

Divide each side by '-2'.
x = -3

Simplifying
x = -3

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