SOLUTION: given:4(x+2)-3=17 Prove:x=3

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Question 221835: given:4(x+2)-3=17
Prove:x=3
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=3.
  • Graphical form: Equation 4%2A%28x%2B2%29-3=17 was fully solved.
  • Text form: 4*(x+2)-3=17 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+4%2A%28x%2B2%29-3=17+%29
    For tutors: simplify_cartoon( 4*(x+2)-3=17 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 4%2A%28x%2B2%29-3=highlight_red%28+17+%29.
Moved these terms to the left highlight_green%28+-17+%29
It becomes 4%2A%28x%2B2%29-3-highlight_green%28+17+%29=0.
Look at 4%2A%28x%2B2%29-highlight_red%28+3+%29-highlight_red%28+17+%29=0.
Added fractions or integers together
It becomes 4%2A%28x%2B2%29%2Bhighlight_green%28+-20+%29=0.
Look at 4%2A%28x%2B2%29%2Bhighlight_red%28+-20+%29=0.
Removed extra sign in front of -20
It becomes 4%2A%28x%2B2%29-highlight_green%28+20+%29=0.
Look at highlight_red%28+4%2A%28x%2B2%29+%29-20=0.
Expanded term 4 by using associative property on %28x%2B2%29
It becomes highlight_green%28+4%2Ax+%29%2Bhighlight_green%28+4%2A2+%29-20=0.
Look at 4%2Ax%2Bhighlight_red%28+4+%29%2Ahighlight_red%28+2+%29-20=0.
Multiplied numerator integers
It becomes 4%2Ax%2Bhighlight_green%28+8+%29-20=0.
Look at 4%2Ax%2Bhighlight_red%28+8+%29-highlight_red%28+20+%29=0.
Added fractions or integers together
It becomes 4%2Ax%2Bhighlight_green%28+-12+%29=0.
Look at 4%2Ax%2Bhighlight_red%28+-12+%29=0.
Removed extra sign in front of -12
It becomes 4%2Ax-highlight_green%28+12+%29=0.
Look at highlight_red%28+4%2Ax-12+%29=0.
Solved linear equation highlight_red%28+4%2Ax-12=0+%29 equivalent to 4*x-12 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=3.

Universal Simplifier and Solver


Done!