Question #e1ecb

Question

875 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-09-17T21:43:36

$x=6$

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 · 2017-09-18T14:25:38

$x=-10$

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