Question $\begin{array}{l} 76(x+6)=24 \\ 8100=-5(8 x+4) \end{array}$ $-152=-8 x-7(8-8 x)$

Studdy Solution

STEP 1

1. We have three separate equations to solve for $x$ .
2. Each equation involves basic algebraic manipulation to isolate $x$ .

STEP 2

1. Solve the first equation $76(x+6) = 24$ .
2. Solve the second equation $8100 = -5(8x+4)$ .
3. Solve the third equation $-152 = -8x - 7(8 - 8x)$ .

STEP 3

Solve the equation $76(x+6) = 24$ .
First, distribute the 76:
$76x + 456 = 24$
Next, subtract 456 from both sides to isolate the term with $x$ :
$76x = 24 - 456$
$76x = -432$
Finally, divide both sides by 76 to solve for $x$ :
$x = \frac{-432}{76}$
Simplify the fraction:
$x = -\frac{108}{19}$

STEP 4

Solve the equation $8100 = -5(8x+4)$ .
First, distribute the $-5$ :
$8100 = -40x - 20$
Next, add 20 to both sides to isolate the term with $x$ :
$8100 + 20 = -40x$
$8120 = -40x$
Finally, divide both sides by $-40$ to solve for $x$ :
$x = \frac{8120}{-40}$
Simplify the fraction:
$x = -203$

STEP 5

Solve the equation $-152 = -8x - 7(8 - 8x)$ .
First, distribute the $-7$ :
$-152 = -8x - 56 + 56x$
Combine like terms:
$-152 = 48x - 56$
Next, add 56 to both sides to isolate the term with $x$ :
$-152 + 56 = 48x$
$-96 = 48x$
Finally, divide both sides by 48 to solve for $x$ :
$x = \frac{-96}{48}$
Simplify the fraction:
$x = -2$
The solutions are:
1. $x = -\frac{108}{19}$
2. $x = -203$
3. $x = -2$

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms