Solve 1/5x+4=21/3

$$\frac { 1 } { 5 } x + 4 = 2 \frac { 1 } { 3 }$$

Solve for x

$$x = -\frac{25}{3} = -8\frac{1}{3} \approx -8.333333333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 15, the least common multiple of 5,3.

$$3x+60=5\left(2\times 3+1\right)$$

Multiply 2 and 3 to get 6.

$$3x+60=5\left(6+1\right)$$

Add 6 and 1 to get 7.

$$3x+60=5\times 7$$

Multiply 5 and 7 to get 35.

$$3x+60=35$$

Subtract 60 from both sides.

$$3x=35-60$$

Subtract 60 from 35 to get -25.

$$3x=-25$$

Divide both sides by 3.

$$x=\frac{-25}{3}$$

Fraction \frac{-25}{3} can be rewritten as -\frac{25}{3} by extracting the negative sign.

$$x=-\frac{25}{3}$$