Solve 5x/3=-5/2

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

Solve for x

$$x = -\frac{3}{2} = -1\frac{1}{2} = -1.5$$

Steps for Solving Linear Equation

Multiply both sides by 3.

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

Express -\frac{5}{2}\times 3 as a single fraction.

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

Multiply -5 and 3 to get -15.

$$5x=\frac{-15}{2}$$

Fraction \frac{-15}{2} can be rewritten as -\frac{15}{2} by extracting the negative sign.

$$5x=-\frac{15}{2}$$

Divide both sides by 5.

$$x=\frac{-\frac{15}{2}}{5}$$

Express \frac{-\frac{15}{2}}{5} as a single fraction.

$$x=\frac{-15}{2\times 5}$$

Multiply 2 and 5 to get 10.

$$x=\frac{-15}{10}$$

Reduce the fraction \frac{-15}{10} to lowest terms by extracting and canceling out 5.

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