Solve -2=-3/8(-5)+b

$$- 2 = - \frac { 3 } { 8 } ( - 5 ) + b$$

Solve for b

$$b = -\frac{31}{8} = -3\frac{7}{8} = -3.875$$

Steps for Solving Linear Equation

Express -\frac{3}{8}\left(-5\right) as a single fraction.

$$-2=\frac{-3\left(-5\right)}{8}+b$$

Multiply -3 and -5 to get 15.

$$-2=\frac{15}{8}+b$$

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

$$\frac{15}{8}+b=-2$$

Subtract \frac{15}{8} from both sides.

$$b=-2-\frac{15}{8}$$

Convert -2 to fraction -\frac{16}{8}.

$$b=-\frac{16}{8}-\frac{15}{8}$$

Since -\frac{16}{8} and \frac{15}{8} have the same denominator, subtract them by subtracting their numerators.

$$b=\frac{-16-15}{8}$$

Subtract 15 from -16 to get -31.

$$b=-\frac{31}{8}$$