SOLUTION: I'm in college math and just failed a test with math examples like 2/3x+4/3=2/3, 5(2x-1)+3=4x+9+1 and I need some serious help because math is not strong

Algebra ->  Linear-equations -> SOLUTION: I'm in college math and just failed a test with math examples like 2/3x+4/3=2/3, 5(2x-1)+3=4x+9+1 and I need some serious help because math is not strong      Log On


   

Question 1123751: I'm in college math and just failed a test with math examples like 2/3x+4/3=2/3, 5(2x-1)+3=4x+9+1 and I need some serious help because math is not strong
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

2%2F%283x%29%2B4%2F3=2%2F3 ...in example like this, you need to solve for x; so, isolate it on one side
2%2F%283x%29%2B4%2F3-4%2F3=2%2F3-4%2F3
2%2F%283x%29=2%2F3-4%2F3...simplify right side
2%2F%283x%29=%282-4%29%2F3
2%2F%283x%29=-2%2F3....cross multiply
2%2A3=-2%2A3x
6=-6x
6%2F-6=x
x=-1


5%282x-1%29%2B3=4x%2B9%2B1+.....first multiply (on the left side)
10x-5%2B3=4x%2B10+
10x-2=4x%2B10+
10x-2%2B2=4x%2B10%2B2+
10x=4x%2B12+
10x-4x=4x-4x%2B12+
10x-4x=12+
6x=12+
x=12%2F6+
x=2+


Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
This forum works in this way: 

     You post your problem (formulated clearly, accurately and correctly) - and then the tutors explain you how to solve your problem.



%282%2F3%29%2Ax + %284%2F3%29%2Ax = 2%2F3


Multiply both sides (all the terms) of the equation by 3. You will get


2x + 4x = 2.


Combine like terms:


6x = 2


Divide both sides by 6:


x = 2%2F6 = 1%2F3.

Solved.

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On solving single linear equations in one unknown see the lesson
    - HOW TO solve a linear equation
in this site.