Solve 7(3x-2)=36

$$7 ( 3 x - 2 ) = 36$$

Solve for x

$$x = \frac{50}{21} = 2\frac{8}{21} \approx 2.380952381$$

Steps for Solving Linear Equation

Divide both sides by 7.

$$3x-2=\frac{36}{7}$$

Add 2 to both sides.

$$3x=\frac{36}{7}+2$$

Convert 2 to fraction \frac{14}{7}.

$$3x=\frac{36}{7}+\frac{14}{7}$$

Since \frac{36}{7} and \frac{14}{7} have the same denominator, add them by adding their numerators.

$$3x=\frac{36+14}{7}$$

Add 36 and 14 to get 50.

$$3x=\frac{50}{7}$$

Divide both sides by 3.

$$x=\frac{\frac{50}{7}}{3}$$

Express \frac{\frac{50}{7}}{3} as a single fraction.

$$x=\frac{50}{7\times 3}$$

Multiply 7 and 3 to get 21.

$$x=\frac{50}{21}$$