Question

What is the solution of 5/2xminus7=3/4xplus14А. x=-6 B. x=6 C. x= 8 D. x=12

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

$\frac{5}{2}x\text{ - 7 = }\frac{3}{4}x+14$

Step 02:

We must apply algebraic properties.

$\begin{gathered} \frac{5}{2}x-\frac{3}{4}x=14+7 \\ \frac{20x-6x}{8}=21 \\ \frac{14x}{8}=21 \\ 14x=21\cdot8 \end{gathered}$

x = 168 / 14

x = 12

The answer is:

x = 12