Solve 2x-3(-5/2)=9

$$2x-3(- \frac{ 5 }{ 2 } )=9$$

Solve for x

$$x=\frac{3}{4}=0.75$$

Steps for Solving Linear Equation

Express 3\left(-\frac{5}{2}\right) as a single fraction.

$$2x-\frac{3\left(-5\right)}{2}=9$$

Multiply 3 and -5 to get -15.

$$2x-\frac{-15}{2}=9$$

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

$$2x-\left(-\frac{15}{2}\right)=9$$

The opposite of -\frac{15}{2} is \frac{15}{2}.

$$2x+\frac{15}{2}=9$$

Subtract \frac{15}{2} from both sides.

$$2x=9-\frac{15}{2}$$

Convert 9 to fraction \frac{18}{2}.

$$2x=\frac{18}{2}-\frac{15}{2}$$

Since \frac{18}{2} and \frac{15}{2} have the same denominator, subtract them by subtracting their numerators.

$$2x=\frac{18-15}{2}$$

Subtract 15 from 18 to get 3.

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

Divide both sides by 2.

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

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

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

Multiply 2 and 2 to get 4.

$$x=\frac{3}{4}$$