Solve for x 3x+2+x=x+5

$3 x + 2 + x = x + 5$

Step 1

Add $3 x$ and $x$ .

$4 x + 2 = x + 5$

Step 2

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

Subtract $x$ from both sides of the equation.

$4 x + 2 - x = 5$

Subtract $x$ from $4 x$ .

$3 x + 2 = 5$

Step 3

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

Subtract $2$ from both sides of the equation.

$3 x = 5 - 2$

Subtract $2$ from $5$ .

$3 x = 3$

Step 4

Divide each term in $3 x = 3$ by $3$ and simplify.

Divide each term in $3 x = 3$ by $3$ .

$\frac{3 x}{3} = \frac{3}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} = \frac{3}{3}$

Divide $x$ by $1$ .

$x = \frac{3}{3}$

Simplify the right side.

Divide $3$ by $3$ .

$x = 1$