SOLUTION: solve the equation x+7/3 = 37/15

SOLUTION: solve the equation x+7/3 = 37/15 - x-2/5

Question 137125: solve the equation
x+7/3 = 37/15 - x-2/5
Answer by MORUPHOSUOLALE(24) (Show Source): You can put this solution on YOUR website!

x+7/3 = 37/15 - x-2/5
You can multiply throughout by highest denominator in the equation.
The highest denominator is 15 according to your equation.
Therefore multiplying the equation throughout by 15 will be-
x(15)+7/3(15) = 37/15* 15 - x(15)- 2/5*15
The reason why we do this is to be able to turn the equation to linear in order to ease further simplification. 99.9% of time,In order to solve equation of this type our first goal will be to make the equation linear but by applying true properties.
So the equation will become-
15x+35= 37- 15x -6
15x+15x = 37-35-6 (by collecting like terms)
30x = -4
x= -(4/30) (by dividing both sides by 30)
x= -(2/15).
Hope this helps.
Moruph
mosuolal@uncc.edu

RELATED QUESTIONS
solve the equation x+7 divided by 3 = 37 divided by 15 - x-2 divided by 5 (answered by stanbon)

x+7 37 x-2 ___ = __ - ____ 3 15 (answered by checkley71)

solve 7^2x+5=37 for... (answered by Fombitz)

There is a graph; find the value of x 1 3 5 7 3 7 15 27 5 15 37 79 7 27 79 x (answered by Fombitz,Edwin McCravy,sjian)

How would I solve this Equation the fractions confuse me ? : 1)x/3 - 7/8 = 2/5(x +... (answered by ptaylor)

please help me with these problems: 6x+4=-3(X-3) 5/6x-3=x/3+4 (answered by checkley71)

Please help me solve this quadratic equation using the quadratic formula. 0.4x^2 + x... (answered by stanbon)

Solve for x in the equation 15 * 3^(x+1) - 243 * 5^(x-2) =... (answered by Fombitz)