Solve for x 2x+10+x-4=21

$2 x + 10 + x - 4 = 21$

Step 1

Simplify $2 x + 10 + x - 4$ .

Add $2 x$ and $x$ .

$3 x + 10 - 4 = 21$

Subtract $4$ from $10$ .

$3 x + 6 = 21$

Step 2

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

Subtract $6$ from both sides of the equation.

$3 x = 21 - 6$

Subtract $6$ from $21$ .

$3 x = 15$

Step 3

Divide each term in $3 x = 15$ by $3$ and simplify.

Divide each term in $3 x = 15$ by $3$ .

$\frac{3 x}{3} = \frac{15}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} = \frac{15}{3}$

Divide $x$ by $1$ .

$x = \frac{15}{3}$

Simplify the right side.

Divide $15$ by $3$ .

$x = 5$