Solve (2x+1)*15=4div5

$$(2x+1) \times 15=4 \div 5$$

Solve for x

$$x=-\frac{71}{150}\approx -0.473333333$$

Steps for Solving Linear Equation

Divide both sides by 15.

$$2x+1=\frac{\frac{4}{5}}{15}$$

Express \frac{\frac{4}{5}}{15} as a single fraction.

$$2x+1=\frac{4}{5\times 15}$$

Multiply 5 and 15 to get 75.

$$2x+1=\frac{4}{75}$$

Subtract 1 from both sides.

$$2x=\frac{4}{75}-1$$

Convert 1 to fraction \frac{75}{75}.

$$2x=\frac{4}{75}-\frac{75}{75}$$

Since \frac{4}{75} and \frac{75}{75} have the same denominator, subtract them by subtracting their numerators.

$$2x=\frac{4-75}{75}$$

Subtract 75 from 4 to get -71.

$$2x=-\frac{71}{75}$$

Divide both sides by 2.

$$x=\frac{-\frac{71}{75}}{2}$$

Express \frac{-\frac{71}{75}}{2} as a single fraction.

$$x=\frac{-71}{75\times 2}$$

Multiply 75 and 2 to get 150.

$$x=\frac{-71}{150}$$

Fraction \frac{-71}{150} can be rewritten as -\frac{71}{150} by extracting the negative sign.

$$x=-\frac{71}{150}$$