Question

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

Answer 1

`x = 10`

Explanation:

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

Use the distributive property to simplify/expand:
`10x + 30 = 20 + 8x + 3x`

Simplify the right side:
`10x + 30 = 20 + 11x`

Subtract `color(blue)(11x)` from both sides:
`10x + 30 quadcolor(blue)(-quad11x) = 20 + 11x quadcolor(blue)(-quad11x)`

`-x + 30 = 20`

Subtract `color(blue)30` from both sides:
`-x + 30 quadcolor(blue)(-quad30) = 20 quadcolor(blue)(-quad30)`

`-x = -10`

Divide both sides by `color(blue)(-1)`:
`(-x)/color(blue)(-1) = (-10)/color(blue)(-1)`

Therefore,
`x = 10`

Hope this helps!

Answer 2

`x=10`

Explanation:

We can distribute the `5` on the left and the `-4` on the right to get

`10x+30=8x+20+3x`

Next, we can combine the `x` terms on the right to get

`10x+30=11x+20`

To make it easier, I'll switch the sides. I didn't do any math here, I just switched the sides:

`11x+20=10x+30`

We can subtract `10x` from both sides to get

`x+20=30`

Lastly, to completely isolate `x`, let's subtract `20` from both sides to get

`x=10`

Hope this helps!