If the sum of a number and nine is doubled, the result is eight less than the number. Find the number.

Question

asked Jul 6, 2019 151k views

2 Answers

Ram Sankhavaram · Answer 1 · 2019-07-12T23:25:14+0000

Equation

Let the number = x

2*(x + 9) = x - 8

Solve

2(x + 9) = x - 8 Remove the brackets on the left

2x + 18 = x - 8 Subtract x from both sides

2x - x + 18 = - 8 2x and - x will combine

x + 18 = - 8 Subtract 18 from both sides

x = -8 - 18

x = - 26

Check

LHS

2(-26 + 9)

2(-17)

-34

RHS

x - 8

-26 - 8

- 34 and the RHS = LHS and they check