Solve 4x+6(+19/15)=9

$$4 x + 6 ( \frac { + 19 } { 15 } ) = 9$$

Solve for x

$$x=\frac{7}{20}=0.35$$

Steps for Solving Linear Equation

Express 6\times \frac{19}{15} as a single fraction.

$$4x+\frac{6\times 19}{15}=9$$

Multiply 6 and 19 to get 114.

$$4x+\frac{114}{15}=9$$

Reduce the fraction \frac{114}{15} to lowest terms by extracting and canceling out 3.

$$4x+\frac{38}{5}=9$$

Subtract \frac{38}{5} from both sides.

$$4x=9-\frac{38}{5}$$

Convert 9 to fraction \frac{45}{5}.

$$4x=\frac{45}{5}-\frac{38}{5}$$

Since \frac{45}{5} and \frac{38}{5} have the same denominator, subtract them by subtracting their numerators.

$$4x=\frac{45-38}{5}$$

Subtract 38 from 45 to get 7.

$$4x=\frac{7}{5}$$

Divide both sides by 4.

$$x=\frac{\frac{7}{5}}{4}$$

Express \frac{\frac{7}{5}}{4} as a single fraction.

$$x=\frac{7}{5\times 4}$$

Multiply 5 and 4 to get 20.

$$x=\frac{7}{20}$$