Equations with Variables on Both Sides
Practice solving linear equations with variables on both sides, including those with fractions and decimals.
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Equations with Variables on Both Sides
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Solve each equation for the given variable. Show all your work. Simplify your answers.
1. Solve for x: 5x + 3 = 2x + 15
2. Solve for y: 7y - 10 = 3y + 6
3. Solve for a: 2(3a - 4) = 4a + 10
4. Solve for b: 5(b + 2) - 3b = 2(b + 7)
5. Solve for m: (1/2)m + 5 = (3/4)m - 1
6. Solve for n: (2/3)(n - 6) = (1/6)n + 4
7. Solve for p: 0.4p - 1.2 = 0.1p + 2.4
8. Solve for q: 2.5(q + 3) = 1.5q + 10.5
9. The perimeter of a rectangle is 36 cm. If the length is (2x + 1) cm and the width is (x + 2) cm, find the value of x and the dimensions of the rectangle.
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