Solve 3x+1/5+24=2

$$3 x + \frac { 1 } { 5 } + 24 = 2$$

Solve for x

$$x = -\frac{37}{5} = -7\frac{2}{5} = -7.4$$

Steps for Solving Linear Equation

Convert 24 to fraction \frac{120}{5}.

$$3x+\frac{1}{5}+\frac{120}{5}=2$$

Since \frac{1}{5} and \frac{120}{5} have the same denominator, add them by adding their numerators.

$$3x+\frac{1+120}{5}=2$$

Add 1 and 120 to get 121.

$$3x+\frac{121}{5}=2$$

Subtract \frac{121}{5} from both sides.

$$3x=2-\frac{121}{5}$$

Convert 2 to fraction \frac{10}{5}.

$$3x=\frac{10}{5}-\frac{121}{5}$$

Since \frac{10}{5} and \frac{121}{5} have the same denominator, subtract them by subtracting their numerators.

$$3x=\frac{10-121}{5}$$

Subtract 121 from 10 to get -111.

$$3x=-\frac{111}{5}$$

Divide both sides by 3.

$$x=\frac{-\frac{111}{5}}{3}$$

Express \frac{-\frac{111}{5}}{3} as a single fraction.

$$x=\frac{-111}{5\times 3}$$

Multiply 5 and 3 to get 15.

$$x=\frac{-111}{15}$$

Reduce the fraction \frac{-111}{15} to lowest terms by extracting and canceling out 3.

$$x=-\frac{37}{5}$$