How do you solve $3x + 34= 12x - 47$ ?

Question

722 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-05-05T05:38:43

$x=9$

Simplify the equation as follows:

$3x+34=12x-47$

Subtracting $3x$ both sides we get:
$(3x+34)-3x=(12x-47)-3x$
$3x-3x+34=12x-3x-47$
$34=9x-47$

Make $x$ the subject of the equation by adding 47 both sides
$34+37= (9x-47)+47$
$71=9x$
$81/9=x$
$9=x$
Therefore $x=9$

Lets check the answer:
$(3xx9)+34 = (12xx9)-47$
$27+34=108-47$
$61=61$

How do you solve 3x + 34= 12x - 473x + 34= 12x - 47?