Respuesta :

5/6x + 7 = 17

Subtract 7 from both sides:

5/6x = 10

Divide both sides by 5/6:

X = 10/ 5/6

When dividing a number by a fraction flip

The fraction over and multiply:

X = 10 x 6/5

Simplify

X = (10x6)/5

X = 60/5

X = 12

The answer is x = 12

Answer:

[tex]\boxed {x = 12}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]\frac{5}{6}x + 7 = 17[/tex]

-Subtract both sides by [tex]7[/tex]:

[tex]\frac{5}{6}x + 7 - 7 = 17 - 7[/tex]

[tex]\frac{5}{6}x = 10[/tex]

-Multiply both sides by [tex]\frac{6}{5}[/tex], which is the reciprocal of [tex]\frac{5}{6}[/tex]:

[tex]x = 10 \times (\frac{6}{5})[/tex]

[tex]x = \frac{10 \times 6}{5}[/tex]

[tex]x = \frac{60}{5}[/tex]

-Divide [tex]60[/tex] by [tex]5[/tex]:

[tex]x = \frac{60}{5}[/tex]

[tex]\boxed {x = 12}[/tex]

Therefore, the value of [tex]x[/tex] is [tex]12[/tex].