How do you solve 1/2(x-3)+(3/2-x)=5 x?

May 7, 2016

See explanation below: I do not believe this equation can be solved.

Explanation:

I'll just work through the steps in order, explaining what I'm doing at each step:

$\frac{1}{2} \left(x - 3\right) + \left(\frac{3}{2} - x\right) = 5 x$

Expand the brackets:

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

Collect like terms: the constants (terms without x in them) cancel out:

$\frac{x}{2} - x = 5 x$

This is a problem, because we now have only terms in x, no constant terms to equate them to.

I don't believe this equation can be solved to find a value for x.