Solve for x 15x+6=10x+21

$15 x + 6 = 10 x + 21$

Step 1

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

Subtract $10 x$ from both sides of the equation.

$15 x + 6 - 10 x = 21$

Subtract $10 x$ from $15 x$ .

$5 x + 6 = 21$

Step 2

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

Subtract $6$ from both sides of the equation.

$5 x = 21 - 6$

Subtract $6$ from $21$ .

$5 x = 15$

Step 3

Divide each term in $5 x = 15$ by $5$ and simplify.

Divide each term in $5 x = 15$ by $5$ .

$\frac{5 x}{5} = \frac{15}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 x}{5} = \frac{15}{5}$

Divide $x$ by $1$ .

$x = \frac{15}{5}$

Simplify the right side.

Divide $15$ by $5$ .

$x = 3$