[Quiz] Equations with single variable (set 2)

Welcome to Math Quiz number 44. This set of questions is designed for fifth-grade students and focuses on mathematical equations featuring one variable. The quiz aims to assess students’ comprehension of fundamental mathematical operations required to solve linear equations. Please do not use calculators or online tools to respond to the questions. If you find any incorrect answers, please leave a comment. Enjoy the quiz!

1. 
Solve for $x$: $\frac{2x}{3}-1 = \frac{x}{2} + 3$.

2. 
Determine $x$ in the equation: $\frac{3x-1}{4} = \frac{x+2}{3}$.

3. 
Find the solution to the equation: $\frac{2x+3}{5} = \frac{x-1}{2}$.

4. 
Solve for $x$ in the equation: $\frac{4x-2}{3} = \frac{2x+1}{4}$.

5. 
Solve the equation: $5(3x-2) - 2(x+1) = 4(2x-3)+1$.

6. 
Determine $x$ in the equation: $2(x-1)+3(3-x) = 4(2x+1)-5$.

7. 
Find the value of $x$ in the equation: $4(x+2) - 3(x-1) = 2(x-3) +5$.

8. 
Determine the value of $x$ in the equation: $5(x-3) - 2(2x+1) = 3$

9. 
Find the value of $x$ in the equation: $\frac{5x}{2} - 1 = \frac{2x-3}{4}$.

10. 
Find the solution to the equation: $\frac{2x+1}{4} = \frac{x-2}{3}$.

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