X + 1.2x + 1 = 100 \\ \\ find \: x ​

Question

`x + 1.2x + 1 = 100 \\ \\ find \: x`
​

Answer 1

Answer:
`x=45`

Simplify both sides of the equation

`x+1.2x+1=100`

`(x+1.2x)+(1)=100` (Combine Like Terms)

`2.2x+1=100`

Subtract 1 from both sides

`2.2x+1-1=100-1\\2.2x=99`

Divide both sides by 2.2

`2.2x/2.2=99/2.2`

`x=45`

Answer 2

Explanation:

`x+1.2x+1=100\\\\2.2x+1=100\\\\2.2x=100-1\\\\2.2x=99\\\\x=(99)/(2.2)\\\\x=(99*10)/(2.2*10)\\\\x=(990)/(22)\\\\x=45`