Answer: x=6
Step-by-step explanation:
To solve for x, we want to isolate the variable.
[tex]\frac{5x+6}{8} +\frac{5x+4}{4} =13[/tex] [get common denominator]
[tex]\frac{5x+6}{8} +\frac{2(5x+4)}{8} =13[/tex] [add fractions]
[tex]\frac{5x+6+10x+8}{y} =13[/tex] [combine like terms]
[tex]\frac{15x+14}{8} =13[/tex] [multiply both sides by 8]
[tex]15x+14=104[/tex] [subtract both sides by 14]
[tex]15x=90\\[/tex] [divide both sides by 15]
[tex]x=6[/tex]
Now, we know that x=6.
