Solve each of the following equations;
(1) -2x - 5 = -13
Add 5 to both sides of the equation
-2x = -13 + 5
-2x = -8
Divide both sides of the equation by -2
x = 4
(2) -(4n + 6) = -n + 2 (n + 6)
The minus sign affects both expressions in the parenthesis and you have
-4n - 6 = -n + 2n + 12
Next you collect the like terms and you have,
-4n + n- 2n = 12 + 6
**Note that when a negative value moves over to the other side of the equation, it becomes positive, and vice versa.
-6n + n = 18
-5n = 18
Next you divide both sides of the equation by -5 and you have,
n = - 18/5
n = - 5 3/5
(3) -7 = 1 + n/3
Subtract 1 from both sides of the equation
-7 - 1 = n/3
-8 = n/3
You cross multiply and you now have,
-8 * 3 = n
-24 = n
(4) 6 - 5h = 3h + 14
Collect like terms and you now have,
6 - 14 = 3h + 5h
-8 = 8h
Divide both sides of the equation by 8 and you now have,
-1 = h