Question

Question #e1ecb

Answer 1

`x=6`

Explanation:

First, simplify: `" "x/2 = 4 + x - 7`

Next, add the `4 and -7:" " x/2 = -3 + x`

Subtract `x` from both sides: `" "-x/2 = -3`

Cross-multiply: `" "-x = -6.`

Divide both sides by `-1:" " x = 6.`

Answer 2

`x=-10`

Explanation:

If the question is read as `x/2 = 4 + (x-35)/5`, the answer will be different.

`(color(blue)(cancel10^5xx) x)/cancel2 = color(blue)(10xx)4 + (color(blue)(cancel10^2xx)(x-35))/cancel5" "larr` multiply by 10.

`color(white)(xxw.x)5x = 40+2(x-35)`

`color(white)(xxw.x)5x = 40+2x-70`

`" "5x-2x = -30`

`" "3x = -30`

`" "x =-10`

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Without parentheses:

`x/2 = 4 + x-35/5" "larr` x/2 = 4 + x-35/5

With parentheses:

`x/2 = 4 + (x-35)/5" "larr` x/2 = 4 + (x-35)/5