Solve -7-5b/2-5+4b+1/2=-7

$$\frac { \frac { - 7 - 5 b } { 2 } - 5 + 4 b + 1 } { 2 } = - 7$$

Solve for b

$$b = -\frac{13}{3} = -4\frac{1}{3} \approx -4.333333333$$

Steps for Solving Linear Equation

Multiply both sides by 2.

$$\frac{-7-5b}{2}-5+4b+1=-7\times 2$$

Multiply both sides of the equation by 2.

$$-7-5b-10+8b+2=-14\times 2$$

Subtract 10 from -7 to get -17.

$$-17-5b+8b+2=-14\times 2$$

Combine -5b and 8b to get 3b.

$$-17+3b+2=-14\times 2$$

Add -17 and 2 to get -15.

$$-15+3b=-14\times 2$$

Multiply -14 and 2 to get -28.

$$-15+3b=-28$$

Add 15 to both sides.

$$3b=-28+15$$

Add -28 and 15 to get -13.

$$3b=-13$$

Divide both sides by 3.

$$b=\frac{-13}{3}$$

Fraction \frac{-13}{3} can be rewritten as -\frac{13}{3} by extracting the negative sign.

$$b=-\frac{13}{3}$$