SOLUTION: Please solve this equation. 4x+8=2x+3+51 Please show all work.

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Question 231340: Please solve this equation.

4x+8=2x+3+51

Please show all work.
Found 2 solutions by rfer, bamaboy:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
4x+8=2x+3+51
combine
4x+8=2x+54
subtract 8 and 2x
2x=46
x=23

Answer by bamaboy(14) 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


  • This is an equation! Solutions: x=23.
  • Graphical form: Equation 4x%2B8=2x%2B3%2B51 was fully solved.
  • Text form: 4x+8=2x+3+51 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+4x%2B8=2x%2B3%2B51+%29
    For tutors: simplify_cartoon( 4x+8=2x+3+51 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 4%2Ax%2B8=2%2Ax%2Bhighlight_red%28+3+%29%2Bhighlight_red%28+51+%29.
Added fractions or integers together
It becomes 4%2Ax%2B8=2%2Ax%2Bhighlight_green%28+54+%29.
Look at 4%2Ax%2B8=highlight_red%28+2%2Ax%2B54+%29.
Moved these terms to the left highlight_green%28+-2%2Ax+%29,highlight_green%28+-54+%29
It becomes 4%2Ax%2B8-highlight_green%28+2%2Ax+%29-highlight_green%28+54+%29=0.
Look at 4%2Ax%2Bhighlight_red%28+8+%29-2%2Ax-highlight_red%28+54+%29=0.
Added fractions or integers together
It becomes 4%2Ax%2Bhighlight_green%28+-46+%29-2%2Ax=0.
Look at 4%2Ax%2Bhighlight_red%28+-46+%29-2%2Ax=0.
Moved -46 to the right of expression
It becomes 4%2Ax-2%2Ax%2Bhighlight_green%28+-46+%29=0.
Look at 4%2Ax-2%2Ax%2Bhighlight_red%28+-46+%29=0.
Removed extra sign in front of -46
It becomes 4%2Ax-2%2Ax-highlight_green%28+46+%29=0.
Look at highlight_red%28+4%2Ax+%29-highlight_red%28+2%2Ax+%29-46=0.
Eliminated similar terms highlight_red%28+4%2Ax+%29,highlight_red%28+-2%2Ax+%29 replacing them with highlight_green%28+%284-2%29%2Ax+%29
It becomes highlight_green%28+%284-2%29%2Ax+%29-46=0.
Look at %28highlight_red%28+4+%29-highlight_red%28+2+%29%29%2Ax-46=0.
Added fractions or integers together
It becomes %28highlight_green%28+2+%29%29%2Ax-46=0.
Look at highlight_red%28+%28highlight_red%28+2+%29%29%2Ax+%29-46=0.
Remove unneeded parentheses around factor highlight_red%28+2+%29
It becomes highlight_green%28+2+%29%2Ax-46=0.
Look at highlight_red%28+2%2Ax-46+%29=0.
Solved linear equation highlight_red%28+2%2Ax-46=0+%29 equivalent to 2*x-46 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=23.

Universal Simplifier and Solver


Done!