Solve for x 2x-x+9+3x-2=16

$2 x - x + 9 + 3 x - 2 = 16$

Step 1

Simplify $2 x - x + 9 + 3 x - 2$ .

Subtract $x$ from $2 x$ .

$x + 9 + 3 x - 2 = 16$

Add $x$ and $3 x$ .

$4 x + 9 - 2 = 16$

Subtract $2$ from $9$ .

$4 x + 7 = 16$

Step 2

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

Subtract $7$ from both sides of the equation.

$4 x = 16 - 7$

Subtract $7$ from $16$ .

$4 x = 9$

Step 3

Divide each term in $4 x = 9$ by $4$ and simplify.

Divide each term in $4 x = 9$ by $4$ .

$\frac{4 x}{4} = \frac{9}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 x}{4} = \frac{9}{4}$

Divide $x$ by $1$ .

$x = \frac{9}{4}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \frac{9}{4}$

Decimal Form:

$x = 2.25$

Mixed Number Form:

$x = 2 \frac{1}{4}$