5 months ago
Q:

What is 4(1/2+3/2x+5/4)=5(4)

Accepted Solution

A:
$$\frac{1}{2}+\frac{3}{2}x+\frac{5}{4}=5$$
$$\frac{2}{4}+\frac{3}{2}x+\frac{5}{4}=5$$
$$\frac{2+5}{4}+\frac{3}{2}x=5$$
$$\frac{7}{4}+\frac{3}{2}x=5$$
$$\frac{3}{2}x=5-\frac{7}{4}$$
$$\frac{3}{2}x=\frac{20}{4}-\frac{7}{4}$$
$$\frac{3}{2}x=\frac{20-7}{4}$$
$$\frac{3}{2}x=\frac{13}{4}$$
$$x=\frac{13}{4}\times \left(\frac{2}{3}\right)$$
$$x=\frac{13\times 2}{4\times 3}$$
$$x=\frac{26}{12}$$
$$x=\frac{13}{6}$$