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

Algebra.Com
Question 213093: 5x-10=5(x-2)
Found 2 solutions by drj, MathTherapy:
Answer by drj(1380)   (Show Source): You can put this solution on YOUR website!


The following steps simplify the above equation:

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


YOUR ANSWER


  • Graphical form: Equation was fully solved.
  • Text form: 5x-10=5*(x-2) simplifies to 0=0
  • Cartoon (animation) form:
    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 .
Moved these terms to the left highlight_green%28+-5%2A%28x-2%29+%29
It becomes .
Look at .
Moved -10 to the right of expression
It becomes .
Look at .
Expanded term -5 by using associative property on %28x-2%29
It becomes .
Look at .
Multiplied numerator integers
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Remove extraneous zero highlight_red%28+0+%29
It becomes .
Look at .
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 .
Look at .
Since highlight_red%28+%285-5%29%2Ax+%29 has zero as a factor, it should be replaced with a zero
Look at .
Added fractions or integers together
It becomes .
Result:

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)   (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, are solutions.
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