Solve: 7(x − 1) = 5(x + 2) + 1

Question

alexwee123 · Answer

distribute out the 7 and 5 then isolate x

anonymous · Answer

7(x − 1) = 5(x + 2) + 1 
7x - 7 = 5x + 10 + 1
7x - 7 = 5x + 11
2x = 18
x=9

To test that this is correct, plug x back into the equation..
7(9-1) = 5(9+2) + 1?
7(8) = 5(11) + 1
56 = 56

anonymous · Answer

1) distribute each of the numbers, so the eqaution becomes 7x-7=5x+10+1
2) Notice how in the second part you can combine like terms to make it 7x-7=5x+11
3) Then subtract 5x from both sides to get 2x-7=11
4) Then add 7 to both sides to get 2x=18
5) Just divide both sides by 2 to get x=9

hope that helps :)