SOLUTION: Seven times a number eaquals 30 more than twice the number. What is the number?

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Question 1012232: Seven times a number eaquals 30 more than twice the number. What is the number?
Answer by ValorousDawn(53) About Me  (Show Source):
You can put this solution on YOUR website!
Lets say our number is x. Thus, seven times is a number is 7%2Ax=7x.
Equals 30. 7x=30
More than twice the number. So we add that part. 7x=30%2B2x.
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=6.
  • Graphical form: Equation 7x=30%2B2x was fully solved.
  • Text form: 7x=30+2x simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+7x=30%2B2x+%29
    For tutors: simplify_cartoon( 7x=30+2x )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 7%2Ax=highlight_red%28+30+%29%2B2%2Ax.
Moved 30 to the right of expression
It becomes 7%2Ax=2%2Ax%2Bhighlight_green%28+30+%29.
Look at 7%2Ax=highlight_red%28+2%2Ax%2B30+%29.
Moved these terms to the left highlight_green%28+-2%2Ax+%29,highlight_green%28+-30+%29
It becomes 7%2Ax-highlight_green%28+2%2Ax+%29-highlight_green%28+30+%29=0.
Look at highlight_red%28+7%2Ax+%29-highlight_red%28+2%2Ax+%29-30=0.
Eliminated similar terms highlight_red%28+7%2Ax+%29,highlight_red%28+-2%2Ax+%29 replacing them with highlight_green%28+%287-2%29%2Ax+%29
It becomes highlight_green%28+%287-2%29%2Ax+%29-30=0.
Look at %28highlight_red%28+7+%29-highlight_red%28+2+%29%29%2Ax-30=0.
Added fractions or integers together
It becomes %28highlight_green%28+5+%29%29%2Ax-30=0.
Look at highlight_red%28+%28highlight_red%28+5+%29%29%2Ax+%29-30=0.
Remove unneeded parentheses around factor highlight_red%28+5+%29
It becomes highlight_green%28+5+%29%2Ax-30=0.
Look at highlight_red%28+5%2Ax-30+%29=0.
Solved linear equation highlight_red%28+5%2Ax-30=0+%29 equivalent to 5*x-30 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=6.

Universal Simplifier and Solver


Done!