Question

3/4(7x-1)-(2x-1/2-x/2)=x+3/2
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Answer 1

Answer: $\frac{7}{11}$

Step-by-step explanation:

$\begin{aligned}\frac{3}{4}(7x-1)-\left(2x-\frac{1}{2}-\frac{x}{2}\right)&=x+\frac{3}{2}\\\frac{21x}{4}-\frac{3}{4}-2x+\frac{1}{2}+\frac{x}{2}&=x+\frac{3}{2}\\\frac{21x}{4}-2x+\frac{x}{2}-x&=\frac{3}{2}+\frac{3}{4}-\frac{1}{2}\\\frac{21x-8x+2x-4x}{4}&=\frac{6+3-2}{4}\\11x&=7\\x&=\frac{7}{11}\end{aligned}$