Solve the following equation for x. 1 5x + 3x = 2x + 42 V =

The first step is to combine like terms on the left-hand side of the equation. Doing this gives us
[tex](\frac{1}{5}+3)x=2x+42[/tex][tex]\Rightarrow\frac{16}{5}x=2x+42[/tex]Now we subtract 2x from both sides and we get
[tex](\frac{16}{5}-2)x=42[/tex][tex]\Rightarrow\frac{6}{5}x=42[/tex]And finally, we multiply both sides of the equation by the recipricol of 6 / 5 and this gives
[tex]\frac{5}{6}\times\frac{6}{5}x=42\times\frac{5}{6}[/tex]which simplifies to
[tex]\textcolor{#FF7968}{x=35}\text{\textcolor{#FF7968}{. }}[/tex]Hence, our answer is x = 35.