#### Answer

$x=\dfrac{15}{7}$

#### Work Step by Step

Simplify starting with the innermost part of the grouping symbols to obtain:
$$3[2x-6-(-2x)+1]=5x
\\3[2x-6+2x+1]=5x
\\3[4x-5]=5x$$
Distribute $3$ to obtain:
$$3(4x)-3(5)=5x
\\12x-15=5x$$
Subtract $5x$ and add $15$ to both sides of the equation to obtain:
$$12x-15-5x+15=5x-5x+15
\\7x=15$$
Divide $7$ to both sides to obtain:
$$\dfrac{7x}{7}=\dfrac{15}{7}
\\x=\dfrac{15}{7}$$