Equations with variables on both sides
Grade 8 Math Worksheets
Let us see the example below:
8x = 5x + 9
Subtracting 5x from both sides,
8x – 5x = 5x + 9 – 5x
3x = 9
Divide by ‘3’ on both sides, we get x = 3
Example: Solve for x, if 5x + 4 = 18 + 3x
Subtract 3x and 4 from both sides, 5x + 4 = 18 + 3x
5x + 4 – 3x – 4 = 18 + 3x – 3x – 4
2x = 14
Divide by ‘2’ on both sides, we get x = 7
Check your answer: Put x = 7 in 5x + 4 = 18 + 3x
L.H.S = (5 × 7) + 4 = 35 + 4 = 39
R.H.S = 18 + (3 × 7) = 18 + 21 = 39
Since L.H.S = R.H.S, so x = 7 is the answer.
- Solve for x: 2x + 9 = 5x
- Solve for y: 3y + 1 = 4y + 12
- Solve for x: 3x + 3 = 4x – 8
- Solve for y: 2y – 10 = 7y
- Solve for z: 20 – z = 16 – 5z
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