SOLUTION: Solve and check the linear equations 3[-3x + 4 - 7(x+1)] = 2x + 5

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Question 21695: Solve and check the linear equations
3[-3x + 4 - 7(x+1)] = 2x + 5

Answer by Alwayscheerful(414)   (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=-0.4375.
  • Graphical form: Equation was fully solved.
  • Text form: 3*(-3x+4-7*(x+1))=2x+5 simplifies to 0=0
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( 3*(-3x+4-7*(x+1))=2x+5 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION


Look at .
Moved 4 to the right of expression
It becomes .

Look at .
Moved these terms to the left highlight_green%28+-2%2Ax+%29,highlight_green%28+-5+%29
It becomes .

Look at .
Expanded term 3 by using associative property on %28-3%2Ax-7%2A%28x%2B1%29%2B4%29
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Added fractions or integers together
It becomes .

Look at .
Moved 7 to the right of expression
It becomes .

Look at .
Eliminated similar terms highlight_red%28+-9%2Ax+%29,highlight_red%28+-2%2Ax+%29 replacing them with highlight_green%28+%28-9-2%29%2Ax+%29
It becomes .

Look at .
Added fractions or integers together
It becomes .

Look at .
Removed extra sign in front of -11
It becomes .

Look at .
Remove unneeded parentheses around factor highlight_red%28+11+%29
It becomes .

Look at .
Expanded term -21 by using associative property on %28x%2B1%29
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Added fractions or integers together
It becomes .

Look at .
Removed extra sign in front of -14
It becomes .

Look at .
Eliminated similar terms highlight_red%28+-11%2Ax+%29,highlight_red%28+-21%2Ax+%29 replacing them with highlight_green%28+%28-11-21%29%2Ax+%29
It becomes .

Look at .
Added fractions or integers together
It becomes .

Look at .
Removed extra sign in front of -32
It becomes .

Look at .
Remove unneeded parentheses around factor highlight_red%28+32+%29
It becomes .

Look at .
Solved linear equation highlight_red%28+-32%2Ax-14=0+%29 equivalent to -32*x-14 =0
It becomes .
Result:
This is an equation! Solutions: x=-0.4375.

Universal Simplifier and Solver


Done!

Hope this helps!

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