math
posted by jaz on .
solve the absolute value problem : 3x+4x+5=10

In mathematics, the absolute value a of a real number a is the numerical value of a without regard to its sign.
So, for example, the absolute value of 3 is 3, and the absolute value of
3 is also 3.
In this case:
 4 x + 5  = 4 x + 5
OR
 4 x + 5  =  ( 4 x + 5 ) =  4 x  5
Equation:
3 x +  4 x + 5  = 10
has two solutions.
1.)
3 x + 4 x + 5 = 10
7 x = 10  5
7 x = 5 Divide both sides with 7
x = 5 / 7
2.)
3 x  ( 4 x + 5 ) = 10
3 x  4 x  5 = 10
 x = 10 + 5
 x = 15 Multiply both sides with  1
x =  15 
 4 x + 5  = 4 x + 5
  ( 4 x + 5 )  =   4 x  5  =  4 x + 5  
More direct way:
3x+4x+5=10
4x+5 = 103x
4x+5 = 103x OR 4x5 = 103x
7x = 5 OR x = 15
x = 5/7 OR x = 15