How do you evaluate $9- 4( x + 1) - 3= 9+ 2( 4- 2x ) - 16$ ?

Question

2393 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-05-02T05:21:04

No Solution or $cancel(0)$ .

$9-4(x+1)-3 = 9+2(4-2x)-16$

First, combine like terms:
$6 - 4(x+1) = -7+2(4-2x)$

Now distribute/expand:
$6 - 4x - 4 = -7 + 8 - 4x$

$2 - 4x = 1 - 4x$

Subtract $color(blue)2$ from both sides of the equation:
$2 - 4x quadcolor(blue)(-quad2) = 1 - 4x quadcolor(blue)(-quad2)$

$-4x = -1 - 4x$

Add $color(blue)(4x)$ to both sides of the equation:
$-4x quadcolor(blue)(+quad4x) = -1 - 4x quadcolor(blue)(+quad4x)$

$0 = -1$

We don't have variables anymore! Now what we do is see if this equation is true. $0$ does NOT equal to $-1$ , so it is false.

When it is false, that means there is No Solution or $cancel(0)$ .

Hope this helps!

How do you evaluate 9- 4( x + 1) - 3= 9+ 2( 4- 2x ) - 169- 4( x + 1) - 3= 9+ 2( 4- 2x ) - 16?