3/4x+2/5=4x-1/4x
solve plz
show work

x=− 19/2 -9.500

Step-by-step explanation:

step oneRearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    3/4*x+5-(1/4+1/4*x)=0

simplify 1/4

   3        1  1

 ((—•x)+5)-(—+(—•x))  = 0

   4        4  4

end of step one step 2 is to repeat the same thing as step one answer is also same as step one step 3

3.1       Adding fractions which have a common denominator

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

1 + x                   x + 1

—————  =  —————

  4                         4  

   3               (x + 1)

 ((— • x) +  5) -  ———————  = 0

   4                  4  

send of step 3 step 4                  3  Simplify   —            

                         4

 3                           (x + 1)  ((— • x) +  5) -  ———————  = 0    4                             4    5.1   Adding a whole to a fractionRewrite the whole as a fraction using  4  as the denominator :             5              5 • 4    5 =  —  =  —————             1                4  Equivalent fraction : The fraction thus generated looks different but has the same value as the wholeCommon denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator 5.2       Adding up the two equivalent fractionsAdd the two equivalent fractions which now have a common denominatorCombine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible: 3x + 5 • 4                          3x + 20 ——————————  =  ———————     4                                          4    (3x + 20)                      (x + 1)  ————————— -  ———————  = 0      4                         4   6.1       Adding fractions which have a common denominatorCombine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible: (3x+20) - ((x+1))                                      2x + 19 —————————————————  =  ———————         4                                                           4        2x + 19  ———————  = 0          4   7.1    When a fraction equals zero ...Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.Here's how:  2x+19  ————— • 4 = 0 • 4    4  Now, on the left hand side, the  4  cancels out the denominator, while, on the right hand side, zero times anything is still zero.The equation now takes the shape :   2x+19  = 07.2      Solve  :    2x+19 = 0 Subtract  19  from both sides of the equation :                      2x = -19Divide both sides of the equation by 2:                     x = -19/2 = -9.500