SOLUTION: is x=4 a solution to the equation 2x+4=8+x?

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Question 147726: is x=4 a solution to the equation 2x+4=8+x?
Found 2 solutions by kab, jim_thompson5910:
Answer by kab(1) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: SUBSTITUTION solver -- compute expression given values
Your Result:


YOUR ANSWER


  • Graphical form: Equation 2x%2B4=8%2Bx was fully solved.
  • Text form: 2x+4=8+x simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+2x%2B4=8%2Bx+%29
    For tutors: simplify_cartoon( 2x+4=8+x )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 2%2Ahighlight_red%28+x+%29%2B4=8%2Bx.
Replaced x with 4
It becomes 2%2Ahighlight_green%28+4+%29%2B4=8%2Bx.
Look at highlight_red%28+2%2A4+%29%2Bhighlight_red%28+4+%29=8%2Bx.
Replace constants in expression: highlight_red%28+2%2A4+%29,highlight_red%28+4+%29 with highlight_green%28+12+%29
It becomes highlight_green%28+12+%29=8%2Bx.
Look at 12=8%2Bhighlight_red%28+x+%29.
Replaced x with 4
It becomes 12=8%2Bhighlight_green%28+4+%29.
Look at 12=highlight_red%28+8+%29%2Bhighlight_red%28+4+%29.
Added fractions or integers together
It becomes 12=highlight_green%28+12+%29.
Look at 12=highlight_red%28+12+%29.
Moved these terms to the left highlight_green%28+-12+%29
It becomes 12-highlight_green%28+12+%29=0.
Look at highlight_red%28+12+%29-highlight_red%28+12+%29=0.
Added fractions or integers together
It becomes highlight_green%28+0+%29=0.
Result: 0=0

Universal Simplifier and Solver


Done!


The solver above shows that zero equals zero, but this is what you were looking for. So, x = 4 is a solution to the equation "2x+4 = 8 + x".

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
2x%2B4=8%2Bx Start with the given equation.


2%2A%284%29%2B4=8%2B%284%29 Plug in x=4.


12=8%2B%284%29 Evaluate and simplify the left side.


12=12 Evaluate and simplify the right side.


Since the equation is true, this means that x=4 is a solution.