Chapter 0.5, Problem 35E

To determine

Solve the equation $2\left(5-n\right)=8$ and explain each step

Answer to Problem 35E

  $n=1$

Explanation of Solution

Given information:

  $2\left(5-n\right)=8$

Formula used:

Simplification of equation

Calculation:

  $2\left(5-n\right)=8$

Multiply by 2 in bracket

  $10-2n=8$

To isolate the variable n, subtracting -10 from both sides-

  $10-10-2n=8-10$

This gives-

  $-2n=-2$

To isolate the variable n, dividing by -2 both sides-

  $\frac{-2}{-2}n=\frac{-2}{-2}$

Hence, the final answer is-

  $n=1$