Question 966966
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