# How do you solve 2x+3=3x-4?

#### Risposta:

With practice you can do these quicker as you learn the shortcut.

x=7

#### Spiegazione:

Objective is to have a single x on one side of the = and everything else on the other side.

Dato:" "color(green)(2x+3=3x-4)

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

color(blue)("Step 1 ")color(brown)("Having all the "x" terms on one side of =")

Sottrarre color(red)(2x) da entrambi i lati

color(green)(2xcolor(red)(-2x)+3=3xcolor(red)(-2x)-4)

0+3=x-4

Swap round

x-4=3
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
color(blue)("Step 2 ")color(brown)("Have just "x" on the left of =")

aggiungere color(red)(4) da entrambi i lati

color(green)(x-4color(red)(+4)=3color(red)(+4))

x=7