#### Answer

$x=0$

#### Work Step by Step

$4(5x+3)=2(7x+6)$ $\longrightarrow$distributive property
$20x+12=14x+12$ $\longrightarrow$addition property
$20x+12-12-14x=14x+12-12-14x$ $\longrightarrow$combine like terms
$6x=0$ $\longrightarrow$multiplication property
$6x\div6=0\times6$ $\longrightarrow$divide
$x=0$