Answer:
6
Step-by-step explanation:
Sum is the same as addition, so if our number is x then:
Twice the sum of a number and four is
2 (x + 4)
Seven times the number decreased by twenty two is
7x - 22
We write it:
2(x + 4) = 7x - 22
Solve for x.
2(x + 4) = 7x - 22 Multiply out
2x + 8 = 7x - 22 Add 22 to each side so the 22 on the right cancels.
2x + 8 + 22 = 7x - 22 + 22
2x + 8 + 22 = 7x
2x + 30 = 7x Subtract 2x from each side so that 2x on the left cancels.
2x - 2x + 30 = 7x - 2x
30 = 7x - 2x
30 = 5x Divide each side by 5
30/5 = 5x/5
30/5 = x
6 = x
