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

Question

asked May 26, 2023 195k views

1 Answer

Greg Buehler · Answer 1 · 2023-06-02T04:18:15+0000

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

Step 01:

Data

$(5)/(2)x\text{ - 7 = }(3)/(4)x+14$

Step 02:

We must apply algebraic properties.

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

x = 168 / 14

x = 12

The answer is:

x = 12