SOLUTION: 7x - 5x + 15 = x + 8

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Question 289069: 7x - 5x + 15 = x + 8
Found 2 solutions by richwmiller, Deina:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
This is an equation not an expression.
add up the x's on the left
then subtract x from both sides
subtract 15 from both sides
all done

Answer by Deina(147) 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=-7.
  • Graphical form: Equation 7x-5x%2B15=x%2B8 was fully solved.
  • Text form: 7x-5x+15=x+8 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+7x-5x%2B15=x%2B8+%29
    For tutors: simplify_cartoon( 7x-5x+15=x+8 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION


Look at highlight_red%28+7%2Ax+%29-highlight_red%28+5%2Ax+%29%2B15=x%2B8.
Eliminated similar terms highlight_red%28+7%2Ax+%29,highlight_red%28+-5%2Ax+%29 replacing them with highlight_green%28+%287-5%29%2Ax+%29
It becomes highlight_green%28+%287-5%29%2Ax+%29%2B15=x%2B8.

Look at %28highlight_red%28+7+%29-highlight_red%28+5+%29%29%2Ax%2B15=x%2B8.
Added fractions or integers together
It becomes %28highlight_green%28+2+%29%29%2Ax%2B15=x%2B8.

Look at highlight_red%28+%28highlight_red%28+2+%29%29%2Ax+%29%2B15=x%2B8.
Remove unneeded parentheses around factor highlight_red%28+2+%29
It becomes highlight_green%28+2+%29%2Ax%2B15=x%2B8.

Look at 2%2Ax%2B15=highlight_red%28+x%2B8+%29.
Moved these terms to the left highlight_green%28+-x+%29,highlight_green%28+-8+%29
It becomes 2%2Ax%2B15-highlight_green%28+x+%29-highlight_green%28+8+%29=0.

Look at 2%2Ax%2Bhighlight_red%28+15+%29-x-highlight_red%28+8+%29=0.
Added fractions or integers together
It becomes 2%2Ax%2Bhighlight_green%28+7+%29-x=0.

Look at 2%2Ax%2Bhighlight_red%28+7+%29-x=0.
Moved 7 to the right of expression
It becomes 2%2Ax-x%2Bhighlight_green%28+7+%29=0.

Look at highlight_red%28+2%2Ax+%29-highlight_red%28+x+%29%2B7=0.
Eliminated similar terms highlight_red%28+2%2Ax+%29,highlight_red%28+-x+%29 replacing them with highlight_green%28+%282-1%29%2Ax+%29
It becomes highlight_green%28+%282-1%29%2Ax+%29%2B7=0.

Look at highlight_red%28+%282-1%29+%29%2Ax%2B7=0.
Remove extraneous '1' from product highlight_red%28+%282-1%29+%29
It becomes x%2B7=0.

Look at highlight_red%28+x%2B7+%29=0.
Solved linear equation highlight_red%28+x%2B7=0+%29 equivalent to x+7 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=-7.

Universal Simplifier and Solver


Done!


and bob's your uncle!