Solving long equations

For solving long equations first combine like terms, then solve the equation.

Example : solve 61 = 10 - 4 + 7 + 16 + v
61 = 10 + 7 + 16 – 4 + v
61 = 33 – 4 + v
61 = 29 + v
61 – 29 = 29 – 29 + v ( subtracting 29 from both sides)
32 = v

Practice : solve
11 + 5 + 1 + h + 7 = 83
6 + u + 8 - 17 = 17
37 = 8 + s – 15
38 = 12 + 13 + 8 + p

Example: Solve for x , 6x - 5 - 2x + 3 - 2 = 4
First, simplify the equation by combining like terms
6 x – 2x – 5 +3 - 2 = 4
4x -4 = 4 (Reverse of subtraction is addition)
4x - 4 + 4 = 4 + 4 ( adding 4 to both sides )
4x = 8 (Reverse of multiplication is division)
4x/4 = 8 /4( dividing both sides by 4)
x = 2

practice : find x
2x – 6x + 12 – 26 + 5x = 40
5p – 14 + 3p + 4p – 25 – 9p = 57
-2s + 23 + 15 -6s + 5s = -1