SOLUTION: 5x-10=5(x-2)

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Question 213093: 5x-10=5(x-2)
Found 2 solutions by drj, MathTherapy:
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
5x-10=5%28x-2%29

The following steps simplify the above equation:

Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • Graphical form: Equation 5x-10=5%2A%28x-2%29 was fully solved.
  • Text form: 5x-10=5*(x-2) simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+5x-10=5%2A%28x-2%29+%29
    For tutors: simplify_cartoon( 5x-10=5*(x-2) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 5%2Ax-10=highlight_red%28+5%2A%28x-2%29+%29.
Moved these terms to the left highlight_green%28+-5%2A%28x-2%29+%29
It becomes 5%2Ax-10-highlight_green%28+5%2A%28x-2%29+%29=0.
Look at 5%2Ax-highlight_red%28+10+%29-5%2A%28x-2%29=0.
Moved -10 to the right of expression
It becomes 5%2Ax-5%2A%28x-2%29-highlight_green%28+10+%29=0.
Look at 5%2Ax-highlight_red%28+5%2A%28x-2%29+%29-10=0.
Expanded term -5 by using associative property on %28x-2%29
It becomes 5%2Ax-highlight_green%28+5%2Ax+%29%2Bhighlight_green%28+5%2A2+%29-10=0.
Look at 5%2Ax-5%2Ax%2Bhighlight_red%28+5+%29%2Ahighlight_red%28+2+%29-10=0.
Multiplied numerator integers
It becomes 5%2Ax-5%2Ax%2Bhighlight_green%28+10+%29-10=0.
Look at 5%2Ax-5%2Ax%2Bhighlight_red%28+10+%29-highlight_red%28+10+%29=0.
Added fractions or integers together
It becomes 5%2Ax-5%2Ax%2Bhighlight_green%28+0+%29=0.
Look at 5%2Ax-5%2Ax%2Bhighlight_red%28+0+%29=0.
Remove extraneous zero highlight_red%28+0+%29
It becomes 5%2Ax-5%2Ax=0.
Look at highlight_red%28+5%2Ax+%29-highlight_red%28+5%2Ax+%29=0.
Eliminated similar terms highlight_red%28+5%2Ax+%29,highlight_red%28+-5%2Ax+%29 replacing them with highlight_green%28+%285-5%29%2Ax+%29
It becomes highlight_green%28+%285-5%29%2Ax+%29=0.
Look at highlight_red%28+%285-5%29%2Ax+%29=0.
Since highlight_red%28+%285-5%29%2Ax+%29 has zero as a factor, it should be replaced with a zero
Look at 0=0.
Added fractions or integers together
It becomes 0=0.
Result: 0=0

Universal Simplifier and Solver


Done!




I hope the above steps were helpful.

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Good luck in your studies!

Respectfully,
Dr J

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!
5x-10=5(x-2)

5x - 10 = 5x - 10 ---- distribute

As seen, the left side of the equation is CONGRUENT to the right side of the equation. Therefore, highlight_green%28ALL-REAL-NUMBERS%29 are solutions.