MHB Solving x Equation: Get Expert Help from Casio

[Casio1]

I have not experienced this one before and would appreciate a little help.

²/₃x - 3 = - x + 2
²/₃x = - x + 5

Now how do I add x to the LHS, is it;

²/₄x or ³/₃x or am I completely off the mark?

Kind regards

Casio

 

[SuperSonic4]

I have not experienced this one before and would appreciate a little help.

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

Now how do I add x to the LHS, is it;

$\frac{2}{4}x$ or $\frac{3}{3}x$ or am I completely off the mark?Kind regards

Casio

If you want to add $x$ to the LHS then the coefficient (number infront of x) must be 1. For fractions this means the top and the bottom must be the same value. $\frac{3x}{3}$ is a good choice in this case.

You may find it easier to multiply each term by three as your first step to clear the fraction altogether.