Answer:
x=-21
Step-by-step explanation:
The difference of a number and 3 is x - 3
The sum of the number and 5 is x + 5
Twice the difference of a number and 3 is therefore 2(x - 3)
Three times the sum of the number and 5 is therefore 3(x + 5)
These last two terms are equal. In equation form this is:
2(x - 3) = 3(x + 5)
2x - 6 = 3x + 15
Get rid of the 3x on the right side by subtracting 3x from both sides and you have:
-x - 6 = 15
Get rid of the -6 on the left side by adding 6 to both sides to get:
-x = 21
You are trying to solve for +x. To change the left side of this equation to +x multiply
both sides by -1 and you change the equation to:
x = -21
Hope this helps you to understand the problem.
