Question

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

Answer 1

Answer: x=6

Step-by-step explanation:

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.