Solve 3(4x+3)=22

$$3(4x+3)=22$$

Solve for x

$$x = \frac{13}{12} = 1\frac{1}{12} \approx 1.083333333$$

Steps for Solving Linear Equation

Divide both sides by 3.

$$4x+3=\frac{22}{3}$$

Subtract 3 from both sides.

$$4x=\frac{22}{3}-3$$

Convert 3 to fraction \frac{9}{3}.

$$4x=\frac{22}{3}-\frac{9}{3}$$

Since \frac{22}{3} and \frac{9}{3} have the same denominator, subtract them by subtracting their numerators.

$$4x=\frac{22-9}{3}$$

Subtract 9 from 22 to get 13.

$$4x=\frac{13}{3}$$

Divide both sides by 4.

$$x=\frac{\frac{13}{3}}{4}$$

Express \frac{\frac{13}{3}}{4} as a single fraction.

$$x=\frac{13}{3\times 4}$$

Multiply 3 and 4 to get 12.

$$x=\frac{13}{12}$$