Answer:
[tex]x = 2[/tex]
Step-by-step explanation:
[tex] \frac{3(x - 2)}{4} = 4x - 8[/tex]
multiply both sides of the equation by 4
[tex]4 \times \frac{3(x - 2)}{4} = 4 \times (4x - 8)[/tex]
on the left side of the equation 4 of the denominator will be eliminated and the equation will look like this
[tex]3x - 6 = 16x - 32[/tex]
transfer the like terms to same side of equation
[tex]32 - 6 = 16x - 3x[/tex]
add them up
[tex]26 = 13x[/tex]
divide both sides of equation by 13 and the answer is
[tex]x = 2[/tex]