Question
12 - 11x = -48 - 8x
Answers
GPT-4o mini
To solve the equation \( 12 - 11x = -48 - 8x \), follow these steps:
1. **Move all terms involving \( x \) to one side**: Add \( 11x \) to both sides of the equation.
\[
12 = -48 - 8x + 11x
\]
2. **Simplify the equation**:
\[
12 = -48 + 3x
\]
3. **Next, move the constant term (-48) to the other side**: Add \( 48 \) to both sides.
\[
12 + 48 = 3x
\]
\[
60 = 3x
\]
4. **Now, divide by 3 to solve for \( x \)**:
\[
x = \frac{60}{3} = 20
\]
So, the solution to the equation \( 12 - 11x = -48 - 8x \) is \( x = 20 \).
1. **Move all terms involving \( x \) to one side**: Add \( 11x \) to both sides of the equation.
\[
12 = -48 - 8x + 11x
\]
2. **Simplify the equation**:
\[
12 = -48 + 3x
\]
3. **Next, move the constant term (-48) to the other side**: Add \( 48 \) to both sides.
\[
12 + 48 = 3x
\]
\[
60 = 3x
\]
4. **Now, divide by 3 to solve for \( x \)**:
\[
x = \frac{60}{3} = 20
\]
So, the solution to the equation \( 12 - 11x = -48 - 8x \) is \( x = 20 \).