Answer:
x = 80
Step-by-step explanation:
We are given the following equation.
x = 0.7x + 24
And we want to solve it for x.
For these kinds of equations, the way to solve for x is to isolate x on one side.
Because we have terms with x on both sides of the equation, we need to remove it from one side.
It's a good idea to remove x from the right side, as we also have our numbers on that side. If we move it to the left side, there aren't any numbers there, so we can more easily solve this equation.
Here is our equation again:
x = 0.7x + 24
Subtract 0.7x from both sides.
x = 0.7x + 24
-0.7x -0.7x
______________________
0.3x = 24
Now, we have variables on one side, and numbers on the other, but we aren't done yet.
Remember that we are solving for x, not 0.3x. (When x is written by itself, it is the same as 1x).
So, in order to find the value of 1x, we need to divide both sides by 0.3, as when a number is divided by itself, the value is 1. If there is a variable, the value will be 1*that variable (e.g. 1n, or n)
**Note that we don't divide by 0.3x, as if we did that, the left side would equal just 1, not 1x.
So, let's divide both sides by 0.3.
0.3x = 24
÷0.3 ÷0.3
__________
x = 80
Topic: solving linear equations
See more: brainly.com/question/24498168
