Question

How do you solve `6-5(2x - 3) = 4x+7`?

Answer 1

`x=1`

Explanation:

`1` Expand:
`6-10x+15=4x+7`

`2` Simplify `6-10x+15` to `-10x+21`:
`-10x+21=4x+7`

`3` Add `10x` to both sides:
`21=4x+7+10x`

`4` Simplify `4x+7+10x` to `14x+7`:
`21=14x+7`

`5` Subtract `7` from both sides:
`21-7=14x`

`6` Simplify `21-7` to `14`
`14=14x`

`7` Divide both sides by `14`:
`1=x`

`8` Switch sides:
`x=1`

Answer 2

`x = 1`

Explanation:

`6-5(2x-3) = 4x + 7`

Distribute:
`6-10x + 15 = 4x + 7`

Simplify the left side:
`21 - 10x = 4x + 7`

Subtract `color(blue)7` from both sides of the equation:
`21 - 10x quadcolor(blue)(-quad7) = 4x + 7 quadcolor(blue)(-quad7)`

`14 - 10x = 4x`

Add `color(blue)(10x)` to both sides of the equation:
`14 - 10x quadcolor(blue)(+quad10x) = 4x quadcolor(blue)(+quad10x)`

`14 = 14x`

Divide both sides by `color(blue)14`:
`14/color(blue)14 = (14x)/color(blue)14`

`1 = x`

So
`x = 1`

Hope this helps!