Answer:
Step-by-step explanation:
Let the consecutive integers be x - 1 , x , x + 1
Equation
2*(x - 1 + x) = 3*(x+1) - 2
Solution
2(2x - 1) = 3(x + 1) - 2 After the first two have been combined remove the brackets.
4x - 2 = 3x + 3 - 2 Combine the right
4x - 2 = 3x + 1
4x - 2 + 2 = 3x + 1 + 2 Add 2 to both sides
4x = 3x + 3 Subtract 3x from both sides
4x-3x = 3x - 3x + 3 Combine
x = 3
Check
Left hand side
2(2 + 3)
2(5)
10
Right hand side
3*(x+1) - 2
3*(4) - 2
12 - 2
10
The answers at least agree.
