SOLUTION: what is -5(p+3)=4(2p-7)

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Question 19587: what is -5(p+3)=4(2p-7)
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: p=1.
  • Graphical form: Equation -5%2A%28p%2B3%29=4%2A%282p-7%29 was fully solved.
  • Text form: -5*(p+3)=4*(2p-7) simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+-5%2A%28p%2B3%29=4%2A%282p-7%29+%29
    For tutors: simplify_cartoon( -5*(p+3)=4*(2p-7) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at -5%2A%28p%2B3%29=highlight_red%28+4%2A%282%2Ap-7%29+%29.
Moved these terms to the left highlight_green%28+-4%2A%282%2Ap-7%29+%29
It becomes -5%2A%28p%2B3%29-highlight_green%28+4%2A%282%2Ap-7%29+%29=0.
Look at -highlight_red%28+5%2A%28p%2B3%29+%29-4%2A%282%2Ap-7%29=0.
Expanded term -5 by using associative property on %28p%2B3%29
It becomes -highlight_green%28+5%2Ap+%29-highlight_green%28+5%2A3+%29-4%2A%282%2Ap-7%29=0.
Look at -5%2Ap-highlight_red%28+5+%29%2Ahighlight_red%28+3+%29-4%2A%282%2Ap-7%29=0.
Multiplied numerator integers
It becomes -5%2Ap-highlight_green%28+15+%29-4%2A%282%2Ap-7%29=0.
Look at -5%2Ap-highlight_red%28+15+%29-4%2A%282%2Ap-7%29=0.
Moved -15 to the right of expression
It becomes -5%2Ap-4%2A%282%2Ap-7%29-highlight_green%28+15+%29=0.
Look at -5%2Ap-highlight_red%28+4%2A%282%2Ap-7%29+%29-15=0.
Expanded term -4 by using associative property on %282%2Ap-7%29
It becomes -5%2Ap-highlight_green%28+4%2A2%2Ap+%29%2Bhighlight_green%28+4%2A7+%29-15=0.
Look at -5%2Ap-highlight_red%28+4+%29%2Ahighlight_red%28+2+%29%2Ap%2B4%2A7-15=0.
Multiplied numerator integers
It becomes -5%2Ap-highlight_green%28+8+%29%2Ap%2B4%2A7-15=0.
Look at -5%2Ap-8%2Ap%2Bhighlight_red%28+4+%29%2Ahighlight_red%28+7+%29-15=0.
Multiplied numerator integers
It becomes -5%2Ap-8%2Ap%2Bhighlight_green%28+28+%29-15=0.
Look at -5%2Ap-8%2Ap%2Bhighlight_red%28+28+%29-highlight_red%28+15+%29=0.
Added fractions or integers together
It becomes -5%2Ap-8%2Ap%2Bhighlight_green%28+13+%29=0.
Look at -highlight_red%28+5%2Ap+%29-highlight_red%28+8%2Ap+%29%2B13=0.
Eliminated similar terms highlight_red%28+-5%2Ap+%29,highlight_red%28+-8%2Ap+%29 replacing them with highlight_green%28+%28-5-8%29%2Ap+%29
It becomes highlight_green%28+%28-5-8%29%2Ap+%29%2B13=0.
Look at %28-highlight_red%28+5+%29-highlight_red%28+8+%29%29%2Ap%2B13=0.
Added fractions or integers together
It becomes %28highlight_green%28+-13+%29%29%2Ap%2B13=0.
Look at %28highlight_red%28+-13+%29%29%2Ap%2B13=0.
Removed extra sign in front of -13
It becomes %28-highlight_green%28+13+%29%29%2Ap%2B13=0.
Look at highlight_red%28+%28-highlight_red%28+13+%29%29%2Ap+%29%2B13=0.
Remove unneeded parentheses around factor highlight_red%28+13+%29
It becomes -highlight_green%28+13+%29%2Ap%2B13=0.
Look at highlight_red%28+-13%2Ap%2B13+%29=0.
Solved linear equation highlight_red%28+-13%2Ap%2B13=0+%29 equivalent to -13*p+13 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: p=1.

Universal Simplifier and Solver


Done!

Hope this helps!