Question

What is the value of X if 3/2x +4 =2x-1

Answer 1

Let's isolate x by moving the -1 to the left and the 3/2x to the right (direction chosen so that you don't get negative numbers):

$4 + 1 = 2x - \frac{3}{2}x \implies 5 = \frac{1}{2}x$

Now multiply both sides by 2 and swap sides:

$2 \cdot 5 = 2 \cdot \frac{1}{2}x \implies x = 10$