Equations with Variables on Both Sides Worksheet with Answer Key

What's on the worksheet

1. Solve each equation by moving the variable term with the smaller coefficient:
   6x + 5 = 2x + 293k - 7 = 8k + 1815 - 2n = 4n - 99p = 4p - 30-5w + 2 = -8w - 13
2. Tidy each side first, then collect the unknown on one side:
   3(x - 4) = 5x + 62(a + 7) = 6(a - 3)4 - (b + 6) = 2(b - 7)6(c - 1) - 2c = 3(c + 2)\dfrac{5}{6}x - 3 = \dfrac{1}{3}x + 2
3. Find the mistake in Kofi's solution and correct it.
4. Number puzzle: write and solve an equation for Hannah's number.
5. Find x so a rectangle with given sides is a square, and find its area.
6. Check Sofia's rule for which term to move in an equation.
7. Word problem: when are two burning candles the same height?
8. Find x so an equilateral triangle and a square have the same perimeter.