Solve 3/4=-5b-1/2

$$\frac { 3 } { 4 } = - 5 b - \frac { 1 } { 2 }$$

Solve for b

$$b=-\frac{1}{4}=-0.25$$

Steps for Solving Linear Equation

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

$$-5b-\frac{1}{2}=\frac{3}{4}$$

Add \frac{1}{2} to both sides.

$$-5b=\frac{3}{4}+\frac{1}{2}$$

Least common multiple of 4 and 2 is 4. Convert \frac{3}{4} and \frac{1}{2} to fractions with denominator 4.

$$-5b=\frac{3}{4}+\frac{2}{4}$$

Since \frac{3}{4} and \frac{2}{4} have the same denominator, add them by adding their numerators.

$$-5b=\frac{3+2}{4}$$

Add 3 and 2 to get 5.

$$-5b=\frac{5}{4}$$

Divide both sides by -5.

$$b=\frac{\frac{5}{4}}{-5}$$

Express \frac{\frac{5}{4}}{-5} as a single fraction.

$$b=\frac{5}{4\left(-5\right)}$$

Multiply 4 and -5 to get -20.

$$b=\frac{5}{-20}$$

Reduce the fraction \frac{5}{-20} to lowest terms by extracting and canceling out 5.

$$b=-\frac{1}{4}$$