Question

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

Answer 1

`x = 1/4`

Explanation:

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

First, add `color(blue)2` to both sides of the equation:
`2(2x+3) - 2 quadcolor(blue)(+quad2) = 5 quadcolor(blue)(+quad2)`

`2(2x+3) = 7`

Use the distributive property (shown below) to simplify `2(2x+3)`:

Following this image, we know that:
`color(blue)(2(2x+3) = (2 * 2x) + (2 * 3) = 4x + 6)`

Put that back into the equation:
`4x + 6 = 7`

Subtract `color(blue)6` from both sides:
`4x + 6 quadcolor(blue)(-quad6) = 7 quadcolor(blue)(-quad6)`

`4x = 1`

Divide both sides by `color(blue)4`:
`(4x)/color(blue)4 = 1/color(blue)4`

Therefore,
`x = 1/4`

Hope this helps!