Solve for f 2+1.25f=10-2.75f

$2 + 1.25 f = 10 - 2.75 f$

Step 1

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

Add $2.75 f$ to both sides of the equation.

$2 + 1.25 f + 2.75 f = 10$

Add $1.25 f$ and $2.75 f$ .

$2 + 4 f = 10$

Step 2

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

Subtract $2$ from both sides of the equation.

$4 f = 10 - 2$

Subtract $2$ from $10$ .

$4 f = 8$

Step 3

Divide each term in $4 f = 8$ by $4$ and simplify.

Divide each term in $4 f = 8$ by $4$ .

$\frac{4 f}{4} = \frac{8}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 f}{4} = \frac{8}{4}$

Divide $f$ by $1$ .

$f = \frac{8}{4}$

Simplify the right side.

Divide $8$ by $4$ .

$f = 2$