Solve 7/b+5=10/5

$$\frac { 7 } { b + 5 } = \frac { 10 } { 5 }$$

Solve for b

$$b = -\frac{3}{2} = -1\frac{1}{2} = -1.5$$

Steps for Solving Linear Equation

Variable b cannot be equal to -5 since division by zero is not defined. Multiply both sides of the equation by 5\left(b+5\right), the least common multiple of b+5,5.

$$5\times 7=\left(b+5\right)\times 10$$

Multiply 5 and 7 to get 35.

$$35=\left(b+5\right)\times 10$$

Use the distributive property to multiply b+5 by 10.

$$35=10b+50$$

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

$$10b+50=35$$

Subtract 50 from both sides.

$$10b=35-50$$

Subtract 50 from 35 to get -15.

$$10b=-15$$

Divide both sides by 10.

$$b=\frac{-15}{10}$$

Reduce the fraction \frac{-15}{10} to lowest terms by extracting and canceling out 5.

$$b=-\frac{3}{2}$$