SOLUTION: if the sum of a number and 4 multiplied b 3, the result is the same as 5 times the number decreased by 10. find the number

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: if the sum of a number and 4 multiplied b 3, the result is the same as 5 times the number decreased by 10. find the number       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 966966: if the sum of a number and 4 multiplied b 3, the result is the same as 5 times the number decreased by 10. find the number





Answer by rm29924(97) About Me  (Show Source):
You can put this solution on YOUR website!
let x = a number
the sum of a number and 4 is
x + 4
multiplied by 3 is
3(x + 4)
the result is the same as 5 times the number which is 5x decreased by 10
5x-10
so our equation is 3(x + 4)=5x-10
distribute the 3 by multiplying
3x + 12 = 5x - 10
get the variable x on one side by subtracting 3x from both sides
12 = 2x - 10
add 10 to both sides
22 = 2x
divide both sides by 2
x = 11
answer: the number is 11