Solve -2x/5=4/7

$$\frac { - 2 x } { 5 } = \frac { 4 } { 7 }$$

Solve for x

$$x = -\frac{10}{7} = -1\frac{3}{7} \approx -1.428571429$$

Steps for Solving Linear Equation

Multiply both sides by 5.

$$-2x=\frac{4}{7}\times 5$$

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

$$-2x=\frac{4\times 5}{7}$$

Multiply 4 and 5 to get 20.

$$-2x=\frac{20}{7}$$

Divide both sides by -2.

$$x=\frac{\frac{20}{7}}{-2}$$

Express \frac{\frac{20}{7}}{-2} as a single fraction.

$$x=\frac{20}{7\left(-2\right)}$$

Multiply 7 and -2 to get -14.

$$x=\frac{20}{-14}$$

Reduce the fraction \frac{20}{-14} to lowest terms by extracting and canceling out 2.

$$x=-\frac{10}{7}$$