SOLUTION: -9x+15=-22-4(x+12) -9x+15=-22-4x+48 -9x+15=4x+26 15=5x+26 -11=5x -2.2=x

Algebra ->  Algebra  -> Equations -> SOLUTION: -9x+15=-22-4(x+12) -9x+15=-22-4x+48 -9x+15=4x+26 15=5x+26 -11=5x -2.2=x      Log On

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Question 37798: -9x+15=-22-4(x+12)
-9x+15=-22-4x+48
-9x+15=4x+26
15=5x+26
-11=5x
-2.2=x
Answer by Alwayscheerful(414) About Me  (Show Source):
You can put this solution on YOUR website!
I'm assuming the steps there is your attempt at the problem
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • Here's what you tried:
  • This is an equation! Solutions: x=17.
  • Graphical form: Equation -9x%2B15=-22-4%2A%28x%2B12%29 was fully solved.
  • Text form: -9x+15=-22-4*(x+12) simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+-9x%2B15=-22-4%2A%28x%2B12%29+%29
    For tutors: simplify_cartoon( -9x+15=-22-4*(x+12) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at -9%2Ax%2B15=-highlight_red%28+22+%29-4%2A%28x%2B12%29.
Moved -22 to the right of expression
It becomes -9%2Ax%2B15=-4%2A%28x%2B12%29-highlight_green%28+22+%29.
Look at -9%2Ax%2B15=highlight_red%28+-4%2A%28x%2B12%29-22+%29.
Moved these terms to the left highlight_green%28+4%2A%28x%2B12%29+%29,highlight_green%28+22+%29
It becomes -9%2Ax%2B15%2Bhighlight_green%28+4%2A%28x%2B12%29+%29%2Bhighlight_green%28+22+%29=0.
Look at -9%2Ax%2Bhighlight_red%28+15+%29%2B4%2A%28x%2B12%29%2Bhighlight_red%28+22+%29=0.
Added fractions or integers together
It becomes -9%2Ax%2Bhighlight_green%28+37+%29%2B4%2A%28x%2B12%29=0.
Look at -9%2Ax%2Bhighlight_red%28+37+%29%2B4%2A%28x%2B12%29=0.
Moved 37 to the right of expression
It becomes -9%2Ax%2B4%2A%28x%2B12%29%2Bhighlight_green%28+37+%29=0.
Look at -9%2Ax%2Bhighlight_red%28+4%2A%28x%2B12%29+%29%2B37=0.
Expanded term 4 by using associative property on %28x%2B12%29
It becomes -9%2Ax%2Bhighlight_green%28+4%2Ax+%29%2Bhighlight_green%28+4%2A12+%29%2B37=0.
Look at -9%2Ax%2B4%2Ax%2Bhighlight_red%28+4+%29%2Ahighlight_red%28+12+%29%2B37=0.
Multiplied numerator integers
It becomes -9%2Ax%2B4%2Ax%2Bhighlight_green%28+48+%29%2B37=0.
Look at -9%2Ax%2B4%2Ax%2Bhighlight_red%28+48+%29%2Bhighlight_red%28+37+%29=0.
Added fractions or integers together
It becomes -9%2Ax%2B4%2Ax%2Bhighlight_green%28+85+%29=0.
Look at -highlight_red%28+9%2Ax+%29%2Bhighlight_red%28+4%2Ax+%29%2B85=0.
Eliminated similar terms highlight_red%28+-9%2Ax+%29,highlight_red%28+4%2Ax+%29 replacing them with highlight_green%28+%28-9%2B4%29%2Ax+%29
It becomes highlight_green%28+%28-9%2B4%29%2Ax+%29%2B85=0.
Look at %28-highlight_red%28+9+%29%2Bhighlight_red%28+4+%29%29%2Ax%2B85=0.
Added fractions or integers together
It becomes %28highlight_green%28+-5+%29%29%2Ax%2B85=0.
Look at %28highlight_red%28+-5+%29%29%2Ax%2B85=0.
Removed extra sign in front of -5
It becomes %28-highlight_green%28+5+%29%29%2Ax%2B85=0.
Look at highlight_red%28+%28-highlight_red%28+5+%29%29%2Ax+%29%2B85=0.
Remove unneeded parentheses around factor highlight_red%28+5+%29
It becomes -highlight_green%28+5+%29%2Ax%2B85=0.
Look at highlight_red%28+-5%2Ax%2B85+%29=0.
Solved linear equation highlight_red%28+-5%2Ax%2B85=0+%29 equivalent to -5*x+85 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=17.

Universal Simplifier and Solver


Done!


The mistake you made was when you distributed -4%28x%2B12%29 you forgot to distribute the negative sign along with the 4. -4x-48 is the correct answer.
Hope this helps!