Question

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

Answer 1

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

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Answer 2

Answer:

$x = -20$

Step-by-step explanation:

Starting with:

$3(x + 8) = -3(7 - \frac{1}{4}x)$

Use distributive property to multply 3 by X + 8

$3x + 24 = -3(7-\frac{1}{4} x)$

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

$3x + 24 = -21 - 3(-\frac{1}{4})x$

Express $-3(\frac{1}{4} )$ as a single fraction.

$3x + 24 = -21 + \frac{- 3(-1)}{4}x$

Multiply -3 and -1 to get 3

$3x + 24 = -21 + \frac{3}{4}x$

Subtract $\frac{3}{4} x$ from both sides

$3x + 24 - \frac{3}{4}x= -21$

Combine 3x and $-\frac{3}{4}x$ to get $\frac{9}{4} x$

$\frac{9}{4} x + 24 = -21$

Subtract 24 from both sides

$\frac{9}{4}x = -21 - 24$

Subtract 24 from -21 to get -45

$\frac{9}{4}x = -45$

Multiply both sides by $\frac{4}{9}$, the reciprocal of $\frac{9}{4}$

$x = -45 * (\frac{4}{9})$

Express it as a single fraction

$x = \frac{-45 * 4}{9}$

Multiply the top to get -180

$x = \frac{-180}{9}$

Divide -180 by 9 and get -20

$x = -20$