Question

Select the correct answer.
What is the solution of 5/2x-7=3/4x+14

A. X=-6
B. X=6
C. X=8
D. X=12

Answer 1

Answer x=12

Step-by-step explanation:

5/2x-7=3/4x+14

      +7.         +7

5/2x=3/4x+21

-3/4x -3/4x

5/2-3/4=7/4x

7/4x=21.         since there's a fraction on one side, multiply 4 with 21

7x=84

divide and you'll get x=12

Answer 2

Explanation

• Get rid of the denominator by multiplying the whole equation by 4.

$\frac{5}{2} x(4) - 7(4) = \frac{3}{4} x(4) + 14(4) \\ 10x - 28 = 3x + 56$

• Solve the equation for x-term.

$10x - 3x = 56 + 28 \\ 7x = 84 \\ x = \frac{84}{7} \\ x = 12$

Answer

$\large \boxed {x = 12}$