Solve (5/3-1/4)+x=31/3+5/4

$$( \frac { 5 } { 3 } - \frac { 1 } { 4 } ) + x = 3 \frac { 1 } { 3 } + \frac { 5 } { 4 }$$

Solve for x

$$x = \frac{19}{6} = 3\frac{1}{6} \approx 3.166666667$$

Steps for Solving Linear Equation

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

$$20-3+12x=4\left(3\times 3+1\right)+15$$

Subtract 3 from 20 to get 17.

$$17+12x=4\left(3\times 3+1\right)+15$$

Multiply 3 and 3 to get 9.

$$17+12x=4\left(9+1\right)+15$$

Add 9 and 1 to get 10.

$$17+12x=4\times 10+15$$

Multiply 4 and 10 to get 40.

$$17+12x=40+15$$

Add 40 and 15 to get 55.

$$17+12x=55$$

Subtract 17 from both sides.

$$12x=55-17$$

Subtract 17 from 55 to get 38.

$$12x=38$$

Divide both sides by 12.

$$x=\frac{38}{12}$$

Reduce the fraction \frac{38}{12} to lowest terms by extracting and canceling out 2.

$$x=\frac{19}{6}$$