# Question #f116a

Nov 9, 2017

$x = 0$

#### Explanation:

$5 + 4 x - 7 = 4 x - 2 - x$

Collect like terms

$5 - 7 + 4 x = 4 x - x - 2$

Combine like terms

$- 2 + 4 x = 3 x - 2$

Subtract $3 x$ from both sides to get all the $x$'s on the same side

$- 2 + x = - 2$

Add $- 2$ to both sides to isolate $x$

$x = 0$
..................................

Check

Sub in $0$ in the place of $x$ in the original equation

$5 + 4 x - 7 = 4 x - 2 - x$

$5 + 4 \cdot 0 - 7 = 4 \cdot 0 - 2 - 0$

$5 + 0 - 7$ should equal $0 - 2 - 0$

$- 2$ does equal $- 2$

Check!