Respuesta :

Answer:

x = [tex]\frac{4w-12t}{3}[/tex]

Step-by-step explanation:

given

[tex]\frac{1}{3}[/tex] w = [tex]\frac{1}{4}[/tex] x + t

multiply through by 12 ( the LCM of 3 and 4 ) to clear fractions

4w = 3x + 12t ( subtract 12t from both sides )

4w - 12t = 3x ( isolate x by dividing both sides by 3 )

[tex]\frac{4w-12t}{3}[/tex] = x

or

x = [tex]\frac{4}{3}[/tex] w - 4t

Step-by-step explanation:

12(1/3w = 1/4x + t)

4w = 3x + 12t

3x + 12t = 4w

3x = 4w - 12t

x = 4/3w - 4t