-4(2x-3)=-8x+5
Hi Cheryl!
The first thing you have to do with this is multiply the -4 into the stuff in the parenthesis.
-4*2x = -8x
-4*-3 = +12
So the left side is -8x+12 = -8x +5
Now that I'm this far along, we see that there's no real answer to this. If we add -8x to both sides, we get:
12=5. And that's clearly wrong.
Either the book/paper/whatever made a mistake in typing this or they are trying to show this question won't work.
So this was a very good question to put up here because it simply doesn't work. Since you had trouble with it, it looks like you probably did it correctly ;-)
Hi! I see that you've encountered an equation -4(2x-3) = -8x + 5 and you're wondering how to solve it.
Let's go through the steps to solve this equation:
Step 1: Distribute the -4 to the terms inside the parentheses.
-4 * 2x = -8x
-4 * -3 = 12
After distributing, the equation becomes -8x + 12 = -8x + 5.
Now let's simplify further:
Step 2: Rearrange the equation to isolate the variable on one side.
To do this, let's bring all the terms with the variable (-8x) to one side by adding 8x to both sides:
-8x + 8x + 12 = -8x + 8x + 5
12 = 5
When we simplify further, we get 12 = 5, which is not a true statement.
Since this equation leads to a contradiction (12 ≠ 5), we conclude that there is no solution to this equation. In other words, there are no values of x that satisfy this equation.
It's important to note that sometimes equations may not have a solution or may have unique solutions. In this case, there is no solution, suggesting a mistake in the given equation or an error in the problem statement.