Solve 3/4(2x+5)=14

$$\frac { 3 } { 4 } ( 2 x + 5 ) = 14$$

Solve for x

$$x = \frac{41}{6} = 6\frac{5}{6} \approx 6.833333333$$

Steps for Solving Linear Equation

Multiply both sides by \frac{4}{3}, the reciprocal of \frac{3}{4}.

$$2x+5=14\times \frac{4}{3}$$

Express 14\times \frac{4}{3} as a single fraction.

$$2x+5=\frac{14\times 4}{3}$$

Multiply 14 and 4 to get 56.

$$2x+5=\frac{56}{3}$$

Subtract 5 from both sides.

$$2x=\frac{56}{3}-5$$

Convert 5 to fraction \frac{15}{3}.

$$2x=\frac{56}{3}-\frac{15}{3}$$

Since \frac{56}{3} and \frac{15}{3} have the same denominator, subtract them by subtracting their numerators.

$$2x=\frac{56-15}{3}$$

Subtract 15 from 56 to get 41.

$$2x=\frac{41}{3}$$

Divide both sides by 2.

$$x=\frac{\frac{41}{3}}{2}$$

Express \frac{\frac{41}{3}}{2} as a single fraction.

$$x=\frac{41}{3\times 2}$$

Multiply 3 and 2 to get 6.

$$x=\frac{41}{6}$$