SOLUTION: I need to solve this. -3+3x=-2(x+1)

Algebra ->  Linear-equations -> SOLUTION: I need to solve this. -3+3x=-2(x+1)      Log On


   

Question 33866This question is from textbook
: I need to solve this.
-3+3x=-2(x+1) This question is from textbook

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=0.2.
  • Graphical form: Equation -3%2B3x=-2%2A%28x%2B1%29 was fully solved.
  • Text form: -3+3x=-2*(x+1) simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+-3%2B3x=-2%2A%28x%2B1%29+%29
    For tutors: simplify_cartoon( -3+3x=-2*(x+1) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at -highlight_red%28+3+%29%2B3%2Ax=-2%2A%28x%2B1%29.
Moved -3 to the right of expression
It becomes 3%2Ax-highlight_green%28+3+%29=-2%2A%28x%2B1%29.
Look at 3%2Ax-3=highlight_red%28+-2%2A%28x%2B1%29+%29.
Moved these terms to the left highlight_green%28+2%2A%28x%2B1%29+%29
It becomes 3%2Ax-3%2Bhighlight_green%28+2%2A%28x%2B1%29+%29=0.
Look at 3%2Ax-highlight_red%28+3+%29%2B2%2A%28x%2B1%29=0.
Moved -3 to the right of expression
It becomes 3%2Ax%2B2%2A%28x%2B1%29-highlight_green%28+3+%29=0.
Look at 3%2Ax%2Bhighlight_red%28+2%2A%28x%2B1%29+%29-3=0.
Expanded term 2 by using associative property on %28x%2B1%29
It becomes 3%2Ax%2Bhighlight_green%28+2%2Ax+%29%2Bhighlight_green%28+2%2A1+%29-3=0.
Look at 3%2Ax%2B2%2Ax%2Bhighlight_red%28+2+%29%2Ahighlight_red%28+1+%29-3=0.
Multiplied numerator integers
It becomes 3%2Ax%2B2%2Ax%2Bhighlight_green%28+2+%29-3=0.
Look at 3%2Ax%2B2%2Ax%2Bhighlight_red%28+2+%29-highlight_red%28+3+%29=0.
Added fractions or integers together
It becomes 3%2Ax%2B2%2Ax%2Bhighlight_green%28+-1+%29=0.
Look at 3%2Ax%2B2%2Ax%2Bhighlight_red%28+-1+%29=0.
Removed extra sign in front of -1
It becomes 3%2Ax%2B2%2Ax-highlight_green%28+1+%29=0.
Look at highlight_red%28+3%2Ax+%29%2Bhighlight_red%28+2%2Ax+%29-1=0.
Eliminated similar terms highlight_red%28+3%2Ax+%29,highlight_red%28+2%2Ax+%29 replacing them with highlight_green%28+%283%2B2%29%2Ax+%29
It becomes highlight_green%28+%283%2B2%29%2Ax+%29-1=0.
Look at %28highlight_red%28+3+%29%2Bhighlight_red%28+2+%29%29%2Ax-1=0.
Added fractions or integers together
It becomes %28highlight_green%28+5+%29%29%2Ax-1=0.
Look at highlight_red%28+%28highlight_red%28+5+%29%29%2Ax+%29-1=0.
Remove unneeded parentheses around factor highlight_red%28+5+%29
It becomes highlight_green%28+5+%29%2Ax-1=0.
Look at highlight_red%28+5%2Ax-1+%29=0.
Solved linear equation highlight_red%28+5%2Ax-1=0+%29 equivalent to 5*x-1 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=0.2.

Universal Simplifier and Solver


Done!