What is 3x-8≥4(x-1.5)

Step by Step Solution

Reformatting the input :

(1): "1.5" was replaced by "(15/10)".

Rearrange:  Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :   3*x-8-(4*(x-(15/10)))=0  

Step by step solution :

STEP 1 : Simplify 3/2  

Equation at the end of step 1 : (3x - 8) -  (4 • (x -  3/2))  = 0  

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  2  as the denominator :

         x     x • 2

    x =  —  =  —————

         1       2  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x • 2 - (3)     2x - 3

———————————  =  ——————

     2            2    

Equation at the end of step 2 :

                        (2x - 3)

 (3x - 8) -  (4 • ————————)  = 0  

                           2    

STEP 3 :

Equation at the end of step 3 :

 (3x - 8) -  2 • (2x - 3)  = 0  

STEP 4  :

Pulling out like terms : 5.1    

Pull out like factors :

   -x - 2  =   -1 • (x + 2)  

Equation at the end of step 5 :  -x - 2  = 0  

STEP 6 : Solving a Single Variable Equation: 6.1      

Solve  :    -x-2 = 0  

Add  2  to both sides of the equation :  

                     -x = 2

Multiply both sides of the equation by (-1) :  x = -2    

One solution was found :  x = -2

a

step-by-step explanation: