Solve for x 4x-6+5x=2x+21-2x

$4 x - 6 + 5 x = 2 x + 21 - 2 x$

Step 1

Add $4 x$ and $5 x$ .

$9 x - 6 = 2 x + 21 - 2 x$

Step 2

Combine the opposite terms in $2 x + 21 - 2 x$ .

Subtract $2 x$ from $2 x$ .

$9 x - 6 = 0 + 21$

Add $0$ and $21$ .

$9 x - 6 = 21$

Step 3

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

Add $6$ to both sides of the equation.

$9 x = 21 + 6$

Add $21$ and $6$ .

$9 x = 27$

Step 4

Divide each term in $9 x = 27$ by $9$ and simplify.

Divide each term in $9 x = 27$ by $9$ .

$\frac{9 x}{9} = \frac{27}{9}$

Simplify the left side.

Cancel the common factor of $9$ .

Cancel the common factor.

$\frac{9 x}{9} = \frac{27}{9}$

Divide $x$ by $1$ .

$x = \frac{27}{9}$

Simplify the right side.

Divide $27$ by $9$ .

$x = 3$