SOLUTION: 3(x-6)+4=5(x+2)-8

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Question 24760: 3(x-6)+4=5(x+2)-8
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=-8.
  • Graphical form: Equation 3%2A%28x-6%29%2B4=5%2A%28x%2B2%29-8 was fully solved.
  • Text form: 3*(x-6)+4=5*(x+2)-8 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+3%2A%28x-6%29%2B4=5%2A%28x%2B2%29-8+%29
    For tutors: simplify_cartoon( 3*(x-6)+4=5*(x+2)-8 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 3%2A%28x-6%29%2B4=highlight_red%28+5%2A%28x%2B2%29-8+%29.
Moved these terms to the left highlight_green%28+-5%2A%28x%2B2%29+%29,highlight_green%28+8+%29
It becomes 3%2A%28x-6%29%2B4-highlight_green%28+5%2A%28x%2B2%29+%29%2Bhighlight_green%28+8+%29=0.
Look at 3%2A%28x-6%29%2Bhighlight_red%28+4+%29-5%2A%28x%2B2%29%2Bhighlight_red%28+8+%29=0.
Added fractions or integers together
It becomes 3%2A%28x-6%29%2Bhighlight_green%28+12+%29-5%2A%28x%2B2%29=0.
Look at 3%2A%28x-6%29%2Bhighlight_red%28+12+%29-5%2A%28x%2B2%29=0.
Moved 12 to the right of expression
It becomes 3%2A%28x-6%29-5%2A%28x%2B2%29%2Bhighlight_green%28+12+%29=0.
Look at highlight_red%28+3%2A%28x-6%29+%29-5%2A%28x%2B2%29%2B12=0.
Expanded term 3 by using associative property on %28x-6%29
It becomes highlight_green%28+3%2Ax+%29-highlight_green%28+3%2A6+%29-5%2A%28x%2B2%29%2B12=0.
Look at 3%2Ax-highlight_red%28+3+%29%2Ahighlight_red%28+6+%29-5%2A%28x%2B2%29%2B12=0.
Multiplied numerator integers
It becomes 3%2Ax-highlight_green%28+18+%29-5%2A%28x%2B2%29%2B12=0.
Look at 3%2Ax-highlight_red%28+18+%29-5%2A%28x%2B2%29%2Bhighlight_red%28+12+%29=0.
Added fractions or integers together
It becomes 3%2Ax%2Bhighlight_green%28+-6+%29-5%2A%28x%2B2%29=0.
Look at 3%2Ax%2Bhighlight_red%28+-6+%29-5%2A%28x%2B2%29=0.
Moved -6 to the right of expression
It becomes 3%2Ax-5%2A%28x%2B2%29%2Bhighlight_green%28+-6+%29=0.
Look at 3%2Ax-5%2A%28x%2B2%29%2Bhighlight_red%28+-6+%29=0.
Removed extra sign in front of -6
It becomes 3%2Ax-5%2A%28x%2B2%29-highlight_green%28+6+%29=0.
Look at 3%2Ax-highlight_red%28+5%2A%28x%2B2%29+%29-6=0.
Expanded term -5 by using associative property on %28x%2B2%29
It becomes 3%2Ax-highlight_green%28+5%2Ax+%29-highlight_green%28+5%2A2+%29-6=0.
Look at 3%2Ax-5%2Ax-highlight_red%28+5+%29%2Ahighlight_red%28+2+%29-6=0.
Multiplied numerator integers
It becomes 3%2Ax-5%2Ax-highlight_green%28+10+%29-6=0.
Look at 3%2Ax-5%2Ax-highlight_red%28+10+%29-highlight_red%28+6+%29=0.
Added fractions or integers together
It becomes 3%2Ax-5%2Ax%2Bhighlight_green%28+-16+%29=0.
Look at 3%2Ax-5%2Ax%2Bhighlight_red%28+-16+%29=0.
Removed extra sign in front of -16
It becomes 3%2Ax-5%2Ax-highlight_green%28+16+%29=0.
Look at highlight_red%28+3%2Ax+%29-highlight_red%28+5%2Ax+%29-16=0.
Eliminated similar terms highlight_red%28+3%2Ax+%29,highlight_red%28+-5%2Ax+%29 replacing them with highlight_green%28+%283-5%29%2Ax+%29
It becomes highlight_green%28+%283-5%29%2Ax+%29-16=0.
Look at %28highlight_red%28+3+%29-highlight_red%28+5+%29%29%2Ax-16=0.
Added fractions or integers together
It becomes %28highlight_green%28+-2+%29%29%2Ax-16=0.
Look at %28highlight_red%28+-2+%29%29%2Ax-16=0.
Removed extra sign in front of -2
It becomes %28-highlight_green%28+2+%29%29%2Ax-16=0.
Look at highlight_red%28+%28-highlight_red%28+2+%29%29%2Ax+%29-16=0.
Remove unneeded parentheses around factor highlight_red%28+2+%29
It becomes -highlight_green%28+2+%29%2Ax-16=0.
Look at highlight_red%28+-2%2Ax-16+%29=0.
Solved linear equation highlight_red%28+-2%2Ax-16=0+%29 equivalent to -2*x-16 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=-8.

Universal Simplifier and Solver


Done!

Hope this helps!