SOLUTION: I am trying to figure out how to solve this math equation: 4x - (3x + 5) = -2 It was stated that the solution set is 3. I need to know the steps to solving this problem.

Algebra ->  Equations -> SOLUTION: I am trying to figure out how to solve this math equation: 4x - (3x + 5) = -2 It was stated that the solution set is 3. I need to know the steps to solving this problem.      Log On


   

Question 1195132: I am trying to figure out how to solve this math equation:
4x - (3x + 5) = -2
It was stated that the solution set is 3.
I need to know the steps to solving this problem.
Found 2 solutions by josgarithmetic, Shin123:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
What or how confusing?
4x-3x-%28%2B5%29=-2
%284-3%29x=-2%2B%28%2B5%29
x=-2%2B5
x=3

This can be done easily with fewer steps.

Answer by Shin123(626) 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=3.
  • Graphical form: Equation 4x-%283x%2B5%29=-2 was fully solved.
  • Text form: 4x-(3x+5)=-2 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+4x-%283x%2B5%29=-2+%29
    For tutors: simplify_cartoon( 4x-(3x+5)=-2 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 4%2Ax-highlight_red%28+%283%2Ax%2B5%29+%29=-2.
Remove unneeded parentheses around terms highlight_red%28+-3%2Ax+%29,highlight_red%28+-5+%29
It becomes 4%2Ax-highlight_green%28+3%2Ax+%29-highlight_green%28+5+%29=-2.
Look at highlight_red%28+4%2Ax+%29-highlight_red%28+3%2Ax+%29-5=-2.
Eliminated similar terms highlight_red%28+4%2Ax+%29,highlight_red%28+-3%2Ax+%29 replacing them with highlight_green%28+%284-3%29%2Ax+%29
It becomes highlight_green%28+%284-3%29%2Ax+%29-5=-2.
Look at highlight_red%28+%284-3%29+%29%2Ax-5=-2.
Remove extraneous '1' from product highlight_red%28+%284-3%29+%29
It becomes x-5=-2.
Look at x-5=highlight_red%28+-2+%29.
Moved these terms to the left highlight_green%28+2+%29
It becomes x-5%2Bhighlight_green%28+2+%29=0.
Look at x-highlight_red%28+5+%29%2Bhighlight_red%28+2+%29=0.
Added fractions or integers together
It becomes x%2Bhighlight_green%28+-3+%29=0.
Look at x%2Bhighlight_red%28+-3+%29=0.
Removed extra sign in front of -3
It becomes x-highlight_green%28+3+%29=0.
Look at highlight_red%28+x-3+%29=0.
Solved linear equation highlight_red%28+x-3=0+%29 equivalent to x-3 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=3.

Universal Simplifier and Solver


Done!