Answer:
[tex]x = \frac{54}{59}[/tex]
Step-by-step explanation:
I'm assuming you meant (83x - 6). Either way, the parentheses aren't needed there as there aren't any numbers outside of the parentheses on that side of the equation.
So:
Remember PEMDAS
P – Parentheses
E – Exponents
M – Multiplication
/D – Division (whichever comes first from left to right)
A – Addition
/S – Subtraction (whichever comes first from left to right)
Nothing needs to be distributed on the left side, so let's distribute the right side.
6(4x + 8)
6 * 4x = 24x
6 * 8 = 48
Now we have 24x + 48
83x - 6 = 24x + 48
Now, we must isolate the x so that in the end, we can get x =
83x - 6 = 24x + 48
+ 6 +6
83x = 24x + 54
-24x -24x
59x = 54
Now, we have isolated the x! Finally, we want x to = 1 so that it will be x = instead of 59x =.
[tex]\frac{59x}{59} = \frac{54}{59}[/tex]
Because 54/59 does not divide into a rational number or simplify any further, we can keep it as a fraction.
[tex]x = \frac{54}{59}[/tex]
~ [tex]InLoveWithPugs[/tex]
Moderator
Math Enthusiast
