Question

Solve for x.
13
=(5x+ 6)/8 +
(5x+4)/4​

Answer 1

Answer:

To solve for x, we want to isolate the variable.

$\frac{5x+6}{8} +\frac{5x+4}{4} =13$  [get common denominator]

$\frac{5x+6}{8}+\frac{2(5x+4)}{8} =13$    [add fractions]

$\frac{5x+6+10x+8}{y} =13$         [combine like terms]

$\frac{15x+14}{8} =13$                [multiply both sides by 8]

$15x+14=104$          [subtract both sides by 14]

$15x=90$                     [divide both sides by 15]

$x=6$

Now, we know that x=6.