SOLUTION: 5(3x+5)=4x-8

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Question 18767: 5(3x+5)=4x-8
Found 2 solutions by Paul, Alwayscheerful:
Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
5(3x+5) = 4x-8
15x + 25 = 4x-8
15x + 25-25 = 4x-8-25
15x = 4x-33
15x-4x=4x-33-4x
11x=33
11x/11=33/11
x=3

Answer by Alwayscheerful(414) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=-3.
  • Graphical form: Equation 5%2A%283x%2B5%29=4x-8 was fully solved.
  • Text form: 5*(3x+5)=4x-8 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+5%2A%283x%2B5%29=4x-8+%29
    For tutors: simplify_cartoon( 5*(3x+5)=4x-8 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 5%2A%283%2Ax%2B5%29=highlight_red%28+4%2Ax-8+%29.
Moved these terms to the left highlight_green%28+-4%2Ax+%29,highlight_green%28+8+%29
It becomes 5%2A%283%2Ax%2B5%29-highlight_green%28+4%2Ax+%29%2Bhighlight_green%28+8+%29=0.
Look at highlight_red%28+5%2A%283%2Ax%2B5%29+%29-4%2Ax%2B8=0.
Expanded term 5 by using associative property on %283%2Ax%2B5%29
It becomes highlight_green%28+5%2A3%2Ax+%29%2Bhighlight_green%28+5%2A5+%29-4%2Ax%2B8=0.
Look at highlight_red%28+5+%29%2Ahighlight_red%28+3+%29%2Ax%2B5%2A5-4%2Ax%2B8=0.
Multiplied numerator integers
It becomes highlight_green%28+15+%29%2Ax%2B5%2A5-4%2Ax%2B8=0.
Look at 15%2Ax%2Bhighlight_red%28+5+%29%2Ahighlight_red%28+5+%29-4%2Ax%2B8=0.
Multiplied numerator integers
It becomes 15%2Ax%2Bhighlight_green%28+25+%29-4%2Ax%2B8=0.
Look at 15%2Ax%2Bhighlight_red%28+25+%29-4%2Ax%2Bhighlight_red%28+8+%29=0.
Added fractions or integers together
It becomes 15%2Ax%2Bhighlight_green%28+33+%29-4%2Ax=0.
Look at 15%2Ax%2Bhighlight_red%28+33+%29-4%2Ax=0.
Moved 33 to the right of expression
It becomes 15%2Ax-4%2Ax%2Bhighlight_green%28+33+%29=0.
Look at highlight_red%28+15%2Ax+%29-highlight_red%28+4%2Ax+%29%2B33=0.
Eliminated similar terms highlight_red%28+15%2Ax+%29,highlight_red%28+-4%2Ax+%29 replacing them with highlight_green%28+%2815-4%29%2Ax+%29
It becomes highlight_green%28+%2815-4%29%2Ax+%29%2B33=0.
Look at %28highlight_red%28+15+%29-highlight_red%28+4+%29%29%2Ax%2B33=0.
Added fractions or integers together
It becomes %28highlight_green%28+11+%29%29%2Ax%2B33=0.
Look at highlight_red%28+%28highlight_red%28+11+%29%29%2Ax+%29%2B33=0.
Remove unneeded parentheses around factor highlight_red%28+11+%29
It becomes highlight_green%28+11+%29%2Ax%2B33=0.
Look at highlight_red%28+11%2Ax%2B33+%29=0.
Solved linear equation highlight_red%28+11%2Ax%2B33=0+%29 equivalent to 11*x+33 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=-3.

Universal Simplifier and Solver


Done!

Hope this helps!