Solving Equations with Variables on Both Sides
This worksheet provides practice on solving linear equations where variables appear on both sides of the equals sign.
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Solving Equations with Variables on Both Sides
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Date:
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Solve each equation for the given variable. Show all your work clearly.
1. 3x + 7 = 2x + 12
2. 5y - 9 = 2y + 15
3. 4(z + 2) = 2z + 14
4. To solve an equation with variables on both sides, the first step is often to the variable terms to one side of the equation.
5. In the equation 7x - 5 = 2x + 10, if you subtract 2x from both sides, you get = 10.
6. 6(m - 3) + 2 = 4m + 8
7. 2(3p + 1) - 5 = 5p - 3
8. The equation 2x + 5 = 2x - 3 has no solution.
True
False
9. The equation 3(x + 1) = 3x + 3 has infinitely many solutions.
True
False
10. Company A offers a job with a starting salary of $30,000 and a $2,000 raise per year. Company B offers a starting salary of $36,000 and a $1,500 raise per year. After how many years will the salaries be equal?
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