Solve left(2(-5/2)+9right)left(-5/2+xright)=-2

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

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Cancel out 2 and 2.

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

Add -5 and 9 to get 4.

$$4\left(-\frac{5}{2}+x\right)=-2$$

Use the distributive property to multiply 4 by -\frac{5}{2}+x.

$$4\left(-\frac{5}{2}\right)+4x=-2$$

Express 4\left(-\frac{5}{2}\right) as a single fraction.

$$\frac{4\left(-5\right)}{2}+4x=-2$$

Multiply 4 and -5 to get -20.

$$\frac{-20}{2}+4x=-2$$

Divide -20 by 2 to get -10.

$$-10+4x=-2$$

Add 10 to both sides.

$$4x=-2+10$$

Add -2 and 10 to get 8.

$$4x=8$$

Divide both sides by 4.

$$x=\frac{8}{4}$$

Divide 8 by 4 to get 2.

$$x=2$$