Question

How do you solve `5(2x-3)+8=9`?

Answer 1

`x = 1.6`

Explanation:

`5(2x-3) + 8 = 9`

First, subtract `color(blue)8` from both sides of the equation:
`5(2x-3) + 8 quadcolor(blue)(-quad8) = 9 quadcolor(blue)(-quad8)`

`5(2x-3) = 1`

Now use the distributive property (shown below) to simplify the left hand side:

Following this image, we know that:
`color(blue)(5(2x-3) = (5 * 2x) + (5 * -3) = 10x - 15)`

Put that back into the equation:
`10x - 15 = 1`

Add `color(blue)15` to both sides:
`10x - 15 quadcolor(blue)(+quad15) = 1 quadcolor(blue)(+quad15)`

`10x = 16`

Divide both sides by `color(blue)10`:
`(10x)/color(blue)10 = 16/color(blue)10`

Therefore,
`x = 1.6`

Hope this helps!