Solve -7=-5/2(8)+b

$$- 7 = \frac { - 5 } { 2 } ( 8 ) + b$$

Solve for b

$$b=13$$

Steps for Solving Linear Equation

Fraction \frac{-5}{2} can be rewritten as -\frac{5}{2} by extracting the negative sign.

$$-7=-\frac{5}{2}\times 8+b$$

Express -\frac{5}{2}\times 8 as a single fraction.

$$-7=\frac{-5\times 8}{2}+b$$

Multiply -5 and 8 to get -40.

$$-7=\frac{-40}{2}+b$$

Divide -40 by 2 to get -20.

$$-7=-20+b$$

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

$$-20+b=-7$$

Add 20 to both sides.

$$b=-7+20$$

Add -7 and 20 to get 13.

$$b=13$$