Question

How do you solve `0.5( x + 2) = 0.9x + 0.2`?

Answer 1

`x = 2`

Explanation:

Step 1) Expand the term within parenthesis:

`0.5x + 0.5*2 = 0.9x + 0.2`

`0.5x + 1 = 0.9x + 0.2`

Step 2) Isolate the `x` terms on one side of the equation and the constants on the other side of the equation while keeping the equation balanced:

`0.5x + 1 - 0.5x - 0.2 = 0.9x + 0.2 - 0.5x - 0.2`

`1 - 0.2 = 0.9x - 0.5x`

`0.8 = 0.4x`

Step 3) Solve for `x` while keeping the equation balanced:

`0.8/0.4 = (0.4x)/0.4`

`2 = x`