Question $-8 x+16=-16 x+32$

Studdy Solution

STEP 1

1. The equation $-8x + 16 = -16x + 32$ is a linear equation with one variable.
2. The goal is to solve for the variable $x$ .
3. Basic algebraic operations such as addition, subtraction, and division will be used.

STEP 2

1. Simplify the equation by combining like terms.
2. Isolate the variable $x$ on one side of the equation.
3. Solve for $x$ .
4. Check the solution by substituting it back into the original equation.

STEP 3

First, let's simplify the equation by getting all terms involving $x$ on one side and constant terms on the other side.
Add $16x$ to both sides to move the $x$ -terms to one side:
$-8x + 16x + 16 = 32$

STEP 4

Simplify the left side by combining like terms:
$8x + 16 = 32$

STEP 5

Now, isolate the variable $x$ by subtracting 16 from both sides:
$8x + 16 - 16 = 32 - 16$

STEP 6

Simplify both sides:
$8x = 16$

STEP 7

Solve for $x$ by dividing both sides by 8:
$x = \frac{16}{8}$

STEP 8

Simplify the right side:
$x = 2$

STEP 9

Check the solution by substituting $x = 2$ back into the original equation:
$-8(2) + 16 = -16(2) + 32$

STEP 10

Simplify both sides:
Left side: $-16 + 16 = 0$
Right side: $-32 + 32 = 0$
Since both sides are equal, the solution is verified.
The solution is:
$\boxed{2}$

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