Solve 7/2=-2x+20

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

Solve for x

$$x = \frac{33}{4} = 8\frac{1}{4} = 8.25$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

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

Subtract 20 from both sides.

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

Convert 20 to fraction \frac{40}{2}.

$$-2x=\frac{7}{2}-\frac{40}{2}$$

Since \frac{7}{2} and \frac{40}{2} have the same denominator, subtract them by subtracting their numerators.

$$-2x=\frac{7-40}{2}$$

Subtract 40 from 7 to get -33.

$$-2x=-\frac{33}{2}$$

Divide both sides by -2.

$$x=\frac{-\frac{33}{2}}{-2}$$

Express \frac{-\frac{33}{2}}{-2} as a single fraction.

$$x=\frac{-33}{2\left(-2\right)}$$

Multiply 2 and -2 to get -4.

$$x=\frac{-33}{-4}$$

Fraction \frac{-33}{-4} can be simplified to \frac{33}{4} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{33}{4}$$