Question

How do you solve `0.28x + 0.3( x - 5) = 0.01( 8x - 7)`?

Answer 1

`x=2.86`

Explanation:

Solve:

`0.28x+0.3(x-5)=0.01(8x-7)`

Expand.

`0.28x+0.3x-1.5=0.08x-0.07`

Simplify.

`0.58x-1.5=0.08x-0.07`

Add `1.5` to both sides.

`0.58x=0.08x-0.07+1.5`

Simplify.

`0.58x=0.08x+1.43`

Subtract `0.08x` from both sides.

`0.58x-0.08x=1.43`

Simplify.

`0.5x=1.43`

Divide both sides by `0.5`.

`x=1.43/0.5`

Simplify.

`x=2.86`