Answer
$x=\frac{4}{7}$
Work Step by Step
We are given the equation $6x-3(2-5x)=6$.
We can use the distributive property to simplify.
$6x-3(2-5x)=6x-3(2)-3(-5x)=6x-6+15x=6$
Combine like terms on the left side.
$21x-6=6$
Add 6 to both sides.
$21x=12$
Divide both sides by 21.
$x=\frac{12}{21}=\frac{4}{7}$