SOLUTION: How do i solve this equation? -3-(-4x)=-4x+24

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Question 18950: How do i solve this equation?
-3-(-4x)=-4x+24

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=3.375.
  • Graphical form: Equation -3-%28-4x%29=-4x%2B24 was fully solved.
  • Text form: -3-(-4x)=-4x+24 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+-3-%28-4x%29=-4x%2B24+%29
    For tutors: simplify_cartoon( -3-(-4x)=-4x+24 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION


Look at -3-highlight_red%28+%28-4%2Ax%29+%29=-4x%2B24.
Remove unneeded parentheses around terms highlight_red%28+4%2Ax+%29
It becomes -3%2Bhighlight_green%28+4%2Ax+%29=-4x%2B24.

Look at -highlight_red%28+3+%29%2B4%2Ax=-4x%2B24.
Moved -3 to the right of expression
It becomes 4%2Ax-highlight_green%28+3+%29=-4x%2B24.

Look at 4%2Ax-3=highlight_red%28+-4%2Ax%2B24+%29.
Moved these terms to the left highlight_green%28+4%2Ax+%29,highlight_green%28+-24+%29
It becomes 4%2Ax-3%2Bhighlight_green%28+4%2Ax+%29-highlight_green%28+24+%29=0.

Look at 4%2Ax-highlight_red%28+3+%29%2B4%2Ax-highlight_red%28+24+%29=0.
Added fractions or integers together
It becomes 4%2Ax%2Bhighlight_green%28+-27+%29%2B4%2Ax=0.

Look at 4%2Ax%2Bhighlight_red%28+-27+%29%2B4%2Ax=0.
Moved -27 to the right of expression
It becomes 4%2Ax%2B4%2Ax%2Bhighlight_green%28+-27+%29=0.

Look at 4%2Ax%2B4%2Ax%2Bhighlight_red%28+-27+%29=0.
Removed extra sign in front of -27
It becomes 4%2Ax%2B4%2Ax-highlight_green%28+27+%29=0.

Look at highlight_red%28+4%2Ax+%29%2Bhighlight_red%28+4%2Ax+%29-27=0.
Eliminated similar terms highlight_red%28+4%2Ax+%29,highlight_red%28+4%2Ax+%29 replacing them with highlight_green%28+%284%2B4%29%2Ax+%29
It becomes highlight_green%28+%284%2B4%29%2Ax+%29-27=0.

Look at %28highlight_red%28+4+%29%2Bhighlight_red%28+4+%29%29%2Ax-27=0.
Added fractions or integers together
It becomes %28highlight_green%28+8+%29%29%2Ax-27=0.

Look at highlight_red%28+%28highlight_red%28+8+%29%29%2Ax+%29-27=0.
Remove unneeded parentheses around factor highlight_red%28+8+%29
It becomes highlight_green%28+8+%29%2Ax-27=0.

Look at highlight_red%28+8%2Ax-27+%29=0.
Solved linear equation highlight_red%28+8%2Ax-27=0+%29 equivalent to 8*x-27 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=3.375.

Universal Simplifier and Solver


Done!

Hope this helps!