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Printable math worksheet for solving equations with variables on both sides.

Worksheet titled "Solving Equations with Variables on Both Sides" with an example and six equations to solve, including steps for solving.

Worksheet titled "Solving Equations with Variables on Both Sides" with an example and six equations to solve, including steps for solving.

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Show Answer Key & Explanations Step-by-step solution for: Solving Equations with Variables on Both Sides Worksheet
1. n - 3n = 14 - 4n
-2n = 14 - 4n
+4n +4n
2n = 14
÷2 ÷2
n = 7

2. 7a + 3 = 4a - 18
-4a -4a
3a + 3 = -18
-3 -3
3a = -21
÷3 ÷3
a = -7

3. 5x - 7 = -10x + 8
+10x +10x
15x - 7 = 8
+7 +7
15x = 15
÷15 ÷15
x = 1

4. 4 - 7k = 1 - 6k
+6k +6k
4 - k = 1
-4 -4
-k = -3
×-1 ×-1
k = 3

5. 22 + 4a = 3a - 13
-3a -3a
22 + a = -13
-22 -22
a = -35

6. 6y - 9y - 4 = -2y - 2
-3y - 4 = -2y - 2
+2y +2y
-y - 4 = -2
+4 +4
-y = 2
×-1 ×-1
y = -2
Parent Tip: Review the logic above to help your child master the concept of two step equations with variables on both sides worksheet.
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