Solve 2f+13/3-6-f/4=1

$$\frac { 2 f + 13 } { 3 } - \frac { 6 - f } { 4 } = 1$$

Solve for f

$$f=-2$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 3,4.

$$4\left(2f+13\right)-3\left(6-f\right)=12$$

Use the distributive property to multiply 4 by 2f+13.

$$8f+52-3\left(6-f\right)=12$$

Use the distributive property to multiply -3 by 6-f.

$$8f+52-18+3f=12$$

Subtract 18 from 52 to get 34.

$$8f+34+3f=12$$

Combine 8f and 3f to get 11f.

$$11f+34=12$$

Subtract 34 from both sides.

$$11f=12-34$$

Subtract 34 from 12 to get -22.

$$11f=-22$$

Divide both sides by 11.

$$f=\frac{-22}{11}$$

Divide -22 by 11 to get -2.

$$f=-2$$