SOLUTION: Solve the equation analytically. Check it analytically by direct substitution, and then support your solution graphically. 7/3(2x-1)=1/5x + 2/5(4-3x) I am really bad at this

Question 68960This question is from textbook
: Solve the equation analytically. Check it analytically by direct substitution, and then support your solution graphically.
7/3(2x-1)=1/5x + 2/5(4-3x)
I am really bad at this. Can you please explain it to me step-by-step. I know that you probably cannot graph it, but also can you somehow explain that part to me as well? This question is from textbook

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
In this problem you're given the task of finding which value of x will make that equation true. When you find your x value, plugging it back in (aka substitution) verifies your answer.
So to start, distribute the fractions 7/3 and 2/5 among their respective terms
Simplify (1/5x-6/5x=-5/5x=-x)
Get similar terms to one side
get all terms with similar denominators
Simplify
Isolate x by multiplying by 3/17
Simplify

So at x=59/85 now we just need the y coordinate to finalize it. pick any side of the equality and plug in x=59/85 into the x variable. To save work, the y value is 77/85. At the point (59/85,77/85) the two lines intersect here since their x and y values are the same
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