Solve for f -f+2+4f=8-3f

$- f + 2 + 4 f = 8 - 3 f$

Step 1

Add $- f$ and $4 f$ .

$3 f + 2 = 8 - 3 f$

Step 2

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

Add $3 f$ to both sides of the equation.

$3 f + 2 + 3 f = 8$

Add $3 f$ and $3 f$ .

$6 f + 2 = 8$

Step 3

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

Subtract $2$ from both sides of the equation.

$6 f = 8 - 2$

Subtract $2$ from $8$ .

$6 f = 6$

Step 4

Divide each term in $6 f = 6$ by $6$ and simplify.

Divide each term in $6 f = 6$ by $6$ .

$\frac{6 f}{6} = \frac{6}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 f}{6} = \frac{6}{6}$

Divide $f$ by $1$ .

$f = \frac{6}{6}$

Simplify the right side.

Divide $6$ by $6$ .

$f = 1$