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

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


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

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

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

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

Solving
-2 + -1x = 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.
-2 + -1x + -3x = 2 + 3x + -3x

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

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

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

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

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

Divide each side by '-4'.
x = -1

Simplifying
x = -1

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