Question

`x+2=4` ?? How to solve it

Answer 1

`x=2`

Explanation:

To solve an equation means to find the value for the variable which makes the equation true.

You want to end up with an answer like:

`x =`a number

You have to do the same thing to both sides of an equation so that it stays in balance.

`x+2=4` asks " what number with `2` added gives `4`?

`x+2color(blue)(-2) = 4 color(blue)(-2)`

`x = 2`

Check: `2+2=4`

Answer 2

`x=2`

Explanation:

Given: `x+2=4`

We need to end up with `x` on its own and one one side of the = and everything else on the other side.

So we need to get rid of the 2 from `x+2`. We do this by changing it to 0. This is because anything +0 does not change in value.

Subtract `color(red)(2)` from `ul("both")` sides of the =

`color(green)(x+2color(white)("d")=color(white)("d")4 color(white)("dddd")->color(white)("dddd")xcolor(white)("d")ubrace(+2color(red)(-2))color(white)("d")=color(white)("d")4color(red)(-2)`
`color(green)(color(white)("ddddddddddddddddddddddd.d")darr)`
`color(green)(color(white)("dddddddddddddd")->color(white)("dddd")ubrace(xcolor(white)("d")+0)color(white)("d.d")=color(white)("d")2)`
`color(green)(color(white)("ddddddddddddddddddddd.d")darr)`
`color(green)(color(white)("dddddddddddddd")->color(white)("dddddd")xcolor(white)("d")=color(white)("d")2)`