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].