Solve 7(3x-5)=24

$$7 ( 3 x - 5 ) = 24$$

Solve for x

$$x = \frac{59}{21} = 2\frac{17}{21} \approx 2.80952381$$

Steps for Solving Linear Equation

Divide both sides by 7.

$$3x-5=\frac{24}{7}$$

Add 5 to both sides.

$$3x=\frac{24}{7}+5$$

Convert 5 to fraction \frac{35}{7}.

$$3x=\frac{24}{7}+\frac{35}{7}$$

Since \frac{24}{7} and \frac{35}{7} have the same denominator, add them by adding their numerators.

$$3x=\frac{24+35}{7}$$

Add 24 and 35 to get 59.

$$3x=\frac{59}{7}$$

Divide both sides by 3.

$$x=\frac{\frac{59}{7}}{3}$$

Express \frac{\frac{59}{7}}{3} as a single fraction.

$$x=\frac{59}{7\times 3}$$

Multiply 7 and 3 to get 21.

$$x=\frac{59}{21}$$