Back to: Algebra 1
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Example:
7p + 8 + 3p = 21 + 8p – 3 Collect like terms
10p + 8 = 18 + 8p Subtract 8p
-8p = -8p
————————-
2p + 8 = 18 Subtract 8
2p = 10 Divide by 2
p = 5
Example:
12x + 8 – 3x = 4x – 6 + 7x Collect like terms
9x + 8 = 11x – 6
-9x -9x Subtract 9x
———————-
8 = 2x – 6
+6 = +6 Add 6
———————
14 = 2x Divide by 2
7 = x
Example:
15y +17 – 6y = 8y + 57 – 3y Collect like terms
9y +17 = 5y + 57
-5y = -5y Subtract 5y
———————
4y +17 = 57 Subtract 17
4y = 40 Divide by 4
y = 10
Example:
– 5p – 35 = – 3p + 5(6 – 3p) Use the distributive property
– 5p – 35 = – 3p + 30 – 15p Collect like terms
– 5p – 35 = – 18p + 30 Add 15p
+ 18p +18p
————————-
13p – 35 = 30 Add 35p
+35 +35
13p = 65 Divide by 13
p = 5