I'm giving the equation Solve for x:34x+58=4x Note that 3/4 and x are rigth next to each other like this 3/4x I had some trouble with the latex this time...
x = __________________ Write your answer as a fraction in simplest form. Use the "/" symbol for the fraction bar.
Answer blank 1: Thank you so much for all the time spent to help me and to understand this concept better.
Solve for x:
(3 x)/4 + 5/8 = 4 x
Put each term in (3 x)/4 + 5/8 over the common denominator 8: (3 x)/4 + 5/8 = (6 x)/8 + 5/8:
(6 x)/8 + 5/8 = 4 x
(6 x)/8 + 5/8 = (6 x + 5)/8:
(6 x + 5)/8 = 4 x
Multiply both sides by 8: or: cross multiply
6 x + 5 = 32 x
6x - 32x = -5
- 26x = - 5 multiply both sides by -1
x =5 / 26
It appears there are four "zero-width space" characters in your LaTeX code. Two of them are between the 3/4 and the x which is why it doesn't look normal. I found that out by pasting your code into this website: https://www.soscisurvey.de/tools/view-chars.php
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As for your actual question, this is pretty much the method guest used:
34x+58=4x
And 34x=3x4 so we can rewrite it like this...
3x4+58=4x
To get a common denominator, we can multiply 3x4 by 22 which won't change its value.
22⋅3x4+58=4x
And 22⋅3x4=6x8 ←That's how it went from 3x to 6x
6x8+58=4x
Now that the fractions have a common denominator we can combine them.
6x+58=4x
Multiply both sides of the equation by 8
6x+5=32x
Subtract 6x from both sides.
5=32x−6x
5=26x
Divide both sides by 26
526=x
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Also, we could multiply both sides of the equation by 8 to begin with, like this:
34x+58 = 4x 8(34x+58) = 8(4x) 8⋅34⋅x + 8⋅58 = 8⋅4⋅x 6x + 5 = 32x 5 = 26x 526 = x_