How do you solve #7/5=(2x+4)/9#?

1 Answer
Jul 19, 2018

Answer:

#x = 4.3#

Explanation:

#7/5 = (2x+4)/9#

To solve this, we first cross multiply:
#7*9 = 5(2x+4)#

Simplify the left side and distribute the right side:
#63 = 10x + 20#

Subtract #color(blue)20# from both sides of the equation:
#63 quadcolor(blue)(-quad20) = 10x + 20 quadcolor(blue)(-quad20)#

#43 = 10x#

Now divide both sides by #color(blue)10#:
#43/color(blue)10 = (10x)/color(blue)10#

#4.3 = x#

Therefore, #x = 4.3#

Hope this helps!