Answer it please and thank you it for 8th grade math

Answer:
x = -16
Step-by-step explanation:
[tex]\frac{2}{3}[/tex]x + 1 = [tex]\frac{1}{6}[/tex]x - 7
Multiply everything by 6
6([tex]\frac{2}{3}[/tex]x + 1) = ( [tex]\frac{1}{6}[/tex]x - 7)6
4x + 6 = x - 42
move x values to the left side, and the rest to the right side
4x - x = -42 - 6
Combine like terms
3x = -48
Divide by 3
x = -16
Answer: x = -16
Step-by-step explanation:
Just use basic algebra, as well as converting fractions to make them combinable:
2x/3 + 1 = x/6 - 7
convert the first fraction:
4x/6 + 1 = x/6 - 7
subtract both sides by x/6
4x/6 - x/6 + 1 = x/6 - x/6 - 7
3x/6 + 1 = -7
Simplify the fraction:
x/2 + 1 = -7
subtract each side by 1
x/2 + 1 - 1 = -7 - 1
x/2 = -8
Multiply each side by two to isolate the x variable:
x/2 *2 = -8*2
x = -16
Now follow these steps to get your answer of x = -16. (hopefully, the mods won't delete this question.)