Question

How do you solve `4( 4x + 3) - 12= 5- 6( 5x + 2)`?

Answer 1

`x = -7/46`

Explanation:

First, use the distributive property to simplify `color(blue)(4(4x+3))` and `color(blue)(-6(5x+2))`:

Following this image, we know that:
`color(blue)(4(4x+3) = (4 * 4x) + (4 * 3) = 16x + 12)`

and

`color(blue)(-6(5x+2) = (-6*5x) - (6 * 2) = -30x - 12)`

Now let's put them back into the equation:
`16x + 12 - 12 = 5 - 30x - 12`

Simplify:
`16x = -7 - 30x`

Add `color(blue)(30x)` to both sides of the equation:
`16x quadcolor(blue)(+quad30x) = -7 - 30x quadcolor(blue)(+quad30x)`

`46x = -7`

Divide both sides by `color(blue)46`:
`(46x)/color(blue)46 = -7/color(blue)46`

Therefore,
`x = -7/46`

Hope this helps!