Solve -5x=1/2-36/2

$$- 5 x = \frac { 1 } { 2 } - \frac { 36 } { 2 }$$

Solve for x

$$x = \frac{7}{2} = 3\frac{1}{2} = 3.5$$

Steps for Solving Linear Equation

Divide 36 by 2 to get 18.

$$-5x=\frac{1}{2}-18$$

Convert 18 to fraction \frac{36}{2}.

$$-5x=\frac{1}{2}-\frac{36}{2}$$

Since \frac{1}{2} and \frac{36}{2} have the same denominator, subtract them by subtracting their numerators.

$$-5x=\frac{1-36}{2}$$

Subtract 36 from 1 to get -35.

$$-5x=-\frac{35}{2}$$

Divide both sides by -5.

$$x=\frac{-\frac{35}{2}}{-5}$$

Express \frac{-\frac{35}{2}}{-5} as a single fraction.

$$x=\frac{-35}{2\left(-5\right)}$$

Multiply 2 and -5 to get -10.

$$x=\frac{-35}{-10}$$

Reduce the fraction \frac{-35}{-10} to lowest terms by extracting and canceling out -5.

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