Question

Solve 56 − 7 x = 2 for x.

Answer 1

`x=(54)/(7)`

Explanation:

1) Rearrange Terms

`56-7x=2\\-7x+56=2`

2) Subtract 56 from both sides of the equation

`-7x+56=2\\-7x+56-56=2-56`

3) Simplify

A. Subtract the numbers

`-7x+56-56=2-56\\-7x=2-56`

B. Subtract the numbers

`-7x=2-56\\-7x=-54`

Result:
`-7x=-54`

4) Divide both sides of the equation by the same term

`-7x=-54\\(-7x)/(-7) =(-54)/(-7)`

5) Simplify

A. Cancel terms that are in both the numerator and denominator

`(-7x)/(-7) =(-54)/(-7\\)\\x=(-54)/(-7)`

B. Divide the numbers

`x=(54)/(7)`

Answer 2

x=54/7

Explanation:

56-7x=2

+7x

56=2+7x

-2

54=7x

÷7

54/7=x