# How do you solve d - 65.24 = 347.81?

Jun 26, 2016

$d = 413.05$

#### Explanation:

We have $d - 65.24 = 347.81$

Now adding $65.24$ on both sides, we get

$d - 65.24 + 65.24 = 347.81 + 65.24$

$d - \cancel{65.24 + 65.24} = 347.81 + 65.24$

or $d = 413.05$

Jun 26, 2016

The solution is $d = 413.05$, steps are in explanation.

#### Explanation:

$d - 65.24 = 347.81$ This is our given equation

We need to find a way to get $d$, the variable, by itself, so that it can equal a solid answer. To do that, we need to isolate the variable.

$d = 347.81 + 65.24$ *We isolated $d$ by using the inverse of subtraction, addition, and added $65.24$ to both sides.

Now $d$ is isolated, and we have all our numbers on one side of the equal sign. Use a calculator or manually compute $347.81 + 65.24$.

$d = 413.05$

Jun 26, 2016

$d = 413.05$

#### Explanation:

Treat an equation as a balance.
What is on one side is exactly equal to what is on the other side, so the balance will stay level.

You can do anything you like to an equation - ADD, SUBTRACT, MULTIPLY,DIVIDE, etc as long as...

YOU MUST DO THE SAME ON BOTH SIDES.

In $d - 65.24 = 347.81$, we would like to have $d$ = a number.

To get rid of -65.24, add on 65.24.
(-65.24 +65.24 = 0)
But we must add 65.24 to BOTH sides.

$d - 65.24 \textcolor{red}{+ 65.24} = 347.81 \textcolor{red}{+ 65.24}$

$d = 413.05$

By doing the opposite on both sides, this has had the effect of 'moving' the 65.24 from the left to the right side.