Solve -5=-4/5(8)+b

$$- 5 = - \frac { 4 } { 5 } ( 8 ) + b$$

Solve for b

$$b = \frac{7}{5} = 1\frac{2}{5} = 1.4$$

Steps for Solving Linear Equation

Express -\frac{4}{5}\times 8 as a single fraction.

$$-5=\frac{-4\times 8}{5}+b$$

Multiply -4 and 8 to get -32.

$$-5=\frac{-32}{5}+b$$

Fraction \frac{-32}{5} can be rewritten as -\frac{32}{5} by extracting the negative sign.

$$-5=-\frac{32}{5}+b$$

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

$$-\frac{32}{5}+b=-5$$

Add \frac{32}{5} to both sides.

$$b=-5+\frac{32}{5}$$

Convert -5 to fraction -\frac{25}{5}.

$$b=-\frac{25}{5}+\frac{32}{5}$$

Since -\frac{25}{5} and \frac{32}{5} have the same denominator, add them by adding their numerators.

$$b=\frac{-25+32}{5}$$

Add -25 and 32 to get 7.

$$b=\frac{7}{5}$$