Solve for x 3+x=2-3x

$3 + x = 2 - 3 x$

Step 1

Move all terms containing $x$ to the left side of the equation.

Add $3 x$ to both sides of the equation.

$3 + x + 3 x = 2$

Add $x$ and $3 x$ .

$3 + 4 x = 2$

Step 2

Move all terms not containing $x$ to the right side of the equation.

Subtract $3$ from both sides of the equation.

$4 x = 2 - 3$

Subtract $3$ from $2$ .

$4 x = - 1$

Step 3

Divide each term in $4 x = - 1$ by $4$ and simplify.

Divide each term in $4 x = - 1$ by $4$ .

$\frac{4 x}{4} = \frac{- 1}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 x}{4} = \frac{- 1}{4}$

Divide $x$ by $1$ .

$x = \frac{- 1}{4}$

Simplify the right side.

Move the negative in front of the fraction.

$x = - \frac{1}{4}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{1}{4}$

Decimal Form:

$x = - 0.25$