SOLUTION: Could you please help me solve this equation? -3x - 12 = 2x + 8

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Question 6638: Could you please help me solve this equation?
-3x - 12 = 2x + 8

Answer by ichudov(507) 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=-4.
  • Graphical form: Equation -3x-12=2x%2B8 was fully solved.
  • Text form: -3x-12=2x+8 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+-3x-12=2x%2B8+%29
    For tutors: simplify_cartoon( -3x-12=2x+8 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION


Look at -3%2Ax-12=highlight_red%28+2%2Ax%2B8+%29.
Moved these terms to the left highlight_green%28+-2%2Ax+%29,highlight_green%28+-8+%29
It becomes -3%2Ax-12-highlight_green%28+2%2Ax+%29-highlight_green%28+8+%29=0.

Look at -3%2Ax-highlight_red%28+12+%29-2%2Ax-highlight_red%28+8+%29=0.
Added fractions or integers together
It becomes -3%2Ax%2Bhighlight_green%28+-20+%29-2%2Ax=0.

Look at -3%2Ax%2Bhighlight_red%28+-20+%29-2%2Ax=0.
Moved -20 to the right of expression
It becomes -3%2Ax-2%2Ax%2Bhighlight_green%28+-20+%29=0.

Look at -3%2Ax-2%2Ax%2Bhighlight_red%28+-20+%29=0.
Removed extra sign in front of -20
It becomes -3%2Ax-2%2Ax-highlight_green%28+20+%29=0.

Look at -highlight_red%28+3%2Ax+%29-highlight_red%28+2%2Ax+%29-20=0.
Eliminated similar terms highlight_red%28+-3%2Ax+%29,highlight_red%28+-2%2Ax+%29 replacing them with highlight_green%28+%28-3-2%29%2Ax+%29
It becomes highlight_green%28+%28-3-2%29%2Ax+%29-20=0.

Look at %28-highlight_red%28+3+%29-highlight_red%28+2+%29%29%2Ax-20=0.
Added fractions or integers together
It becomes %28highlight_green%28+-5+%29%29%2Ax-20=0.

Look at %28highlight_red%28+-5+%29%29%2Ax-20=0.
Removed extra sign in front of -5
It becomes %28-highlight_green%28+5+%29%29%2Ax-20=0.

Look at highlight_red%28+%28-highlight_red%28+5+%29%29%2Ax+%29-20=0.
Remove unneeded parentheses around factor highlight_red%28+5+%29
It becomes -highlight_green%28+5+%29%2Ax-20=0.

Look at highlight_red%28+-5%2Ax-20+%29=0.
Solved linear equation highlight_red%28+-5%2Ax-20=0+%29 equivalent to -5*x-20 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=-4.

Universal Simplifier and Solver


Done!