Question

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

Answer 1

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:

`1/2(x-3)+(3/2-x)=5x`

Expand the brackets:

`x/2-3/2+3/2-x=5x`

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

`x/2-x=5x`

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.