Answer:
[tex]x=\frac{8}{5}[/tex]
Step-by-step explanation:
We have been given an equation [tex]5x+(3x-\frac{4}{5})=12[/tex]. We are asked to solve the given equation.
First of all, we will remove parentheses as:
[tex]5x+3x-\frac{4}{5}=12[/tex]
Now, we will combine like terms.
[tex]8x-\frac{4}{5}=12[/tex]
Upon adding [tex]\frac{4}{5}[/tex] on both sides of equation, we will get:
[tex]8x-\frac{4}{5}+\frac{4}{5}=12+\frac{4}{5}[/tex]
[tex]8x=12+\frac{4}{5}[/tex]
Now, we need to make a common denominator.
[tex]8x=\frac{60}{5}+\frac{4}{5}[/tex]
[tex]8x=\frac{60+4}{5}[/tex]
[tex]8x=\frac{64}{5}[/tex]
Our last step is to divide both sides by 8 as:
[tex]\frac{8x}{8}=\frac{64}{5\cdot 8}[/tex]
[tex]x=\frac{8}{5\cdot 1}[/tex]
[tex]x=\frac{8}{5}[/tex]
Therefore, [tex]x=\frac{8}{5}[/tex] is the solution of our given equation.
