[tex]15-2(3-2x)=46\ \ \ |\text{use distributive property}\\\\15-(2)(3)-(2)(-2x)=46\\\\15-6+4x=46\\\\9+4x=46\ \ \ \ |-9\\\\4x=37\ \ \ \ |:4\\\\x=\dfrac{37}{4}\\\\x=9\dfrac{1}{4}[/tex]