Solve 5(3x+1)=42

$$5 ( 3 x + 1 ) = 42$$

Solve for x

$$x = \frac{37}{15} = 2\frac{7}{15} \approx 2.466666667$$

Steps for Solving Linear Equation

Divide both sides by 5.

$$3x+1=\frac{42}{5}$$

Subtract 1 from both sides.

$$3x=\frac{42}{5}-1$$

Convert 1 to fraction \frac{5}{5}.

$$3x=\frac{42}{5}-\frac{5}{5}$$

Since \frac{42}{5} and \frac{5}{5} have the same denominator, subtract them by subtracting their numerators.

$$3x=\frac{42-5}{5}$$

Subtract 5 from 42 to get 37.

$$3x=\frac{37}{5}$$

Divide both sides by 3.

$$x=\frac{\frac{37}{5}}{3}$$

Express \frac{\frac{37}{5}}{3} as a single fraction.

$$x=\frac{37}{5\times 3}$$

Multiply 5 and 3 to get 15.

$$x=\frac{37}{15}$$