Respuesta :

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.)

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