Pls help this is so confusing my brain is about to explode

Answer:

x=-20

Step-by-step explanation:

1. Expand 3(x+8) :  3x+24

2.Expand -3(7-1/4x):    -21*3/4x

3. 3x+24= -21*3/4x

4.Subtract 24 from both sides

3x+24-24= -21*3/4x-24

5.3x= 3/4x-45

6.Subtract 3/4 from both sides

3x-3/4= 3/4x-45-3/4

7.9/4x=-45

8.Multiply both sides by 4

9/4x*4=-45*4

9.9x=-180

10.Divide both sides by 9

9x/9=-180/9

11.   x=-20

Answer:

[tex]x = -20[/tex]

Step-by-step explanation:

Starting with:

[tex]3(x + 8) = -3(7 - \frac{1}{4}x)[/tex]

Use distributive property to multply 3 by X + 8

[tex]3x + 24 = -3(7-\frac{1}{4} x)[/tex]

Use distributive property to multiply -3 by 7 - 1/4x

[tex]3x + 24 = -21 - 3(-\frac{1}{4})x[/tex]

Express [tex]-3(\frac{1}{4} )[/tex] as a single fraction.

[tex]3x + 24 = -21 + \frac{- 3(-1)}{4}x[/tex]

Multiply -3 and -1 to get 3

[tex]3x + 24 = -21 + \frac{3}{4}x[/tex]

Subtract [tex]\frac{3}{4} x[/tex] from both sides

[tex]3x + 24 - \frac{3}{4}x= -21[/tex]

Combine 3x and [tex]-\frac{3}{4}x[/tex] to get [tex]\frac{9}{4} x[/tex]

[tex]\frac{9}{4} x + 24 = -21[/tex]

Subtract 24 from both sides

[tex]\frac{9}{4}x = -21 - 24[/tex]

Subtract 24 from -21 to get -45

[tex]\frac{9}{4}x = -45[/tex]

Multiply both sides by [tex]\frac{4}{9}[/tex], the reciprocal of [tex]\frac{9}{4}[/tex]

[tex]x = -45 * (\frac{4}{9})[/tex]

Express it as a single fraction

[tex]x = \frac{-45 * 4}{9}[/tex]

Multiply the top to get -180

[tex]x = \frac{-180}{9}[/tex]

Divide -180 by 9 and get -20

[tex]x = -20[/tex]

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