Answer:
[tex]x=\frac{17}{2}=8.5[/tex]Step-by-step explanation:
To solve the following equation we need to use inverse operations to solve equations. Keep in mind that addition and subtraction are inverse operations, and multiplication and division too.
So, for the following equation:
[tex]34x+95=3(14x+9)[/tex]As a first step let's apply distributive property on the right side of the equation:
[tex]34x+95=42x+27[/tex]Now, apply inverse operations:
[tex]\begin{gathered} 95-27=42x-34x \\ 68=8x \\ x=\frac{68}{8} \\ x=\frac{17}{2}=8.5 \end{gathered}[/tex]