Answer
$x=1$
Work Step by Step
Step 1: $6(3x-1)=8-(10x-14)$
Step 2: $18x-6=8-10x+14$
Step 3: $18x-6=-10x+22$
Step 4: Adding $6$ to both sides, $18x+6-6=-10x+22+6$
Step 5: $18x=-10x+28$
Step 6: Adding $10x$ to both sides, $18x+10x=-10x+28+10x$
Step 7: $28x=28$
Step 8: Dividing each side by $28$, $\frac{28x}{28}=\frac{28}{28}$
Step 9: As a result, $x=1$