Solve 4(3-5b)=87

$$4 ( 3 - 5 b ) = 87$$

Solve for b

$$b = -\frac{15}{4} = -3\frac{3}{4} = -3.75$$

Steps for Solving Linear Equation

Divide both sides by 4.

$$3-5b=\frac{87}{4}$$

Subtract 3 from both sides.

$$-5b=\frac{87}{4}-3$$

Convert 3 to fraction \frac{12}{4}.

$$-5b=\frac{87}{4}-\frac{12}{4}$$

Since \frac{87}{4} and \frac{12}{4} have the same denominator, subtract them by subtracting their numerators.

$$-5b=\frac{87-12}{4}$$

Subtract 12 from 87 to get 75.

$$-5b=\frac{75}{4}$$

Divide both sides by -5.

$$b=\frac{\frac{75}{4}}{-5}$$

Express \frac{\frac{75}{4}}{-5} as a single fraction.

$$b=\frac{75}{4\left(-5\right)}$$

Multiply 4 and -5 to get -20.

$$b=\frac{75}{-20}$$

Reduce the fraction \frac{75}{-20} to lowest terms by extracting and canceling out 5.

$$b=-\frac{15}{4}$$