Question
Solve for x : 9x+16=6x+1 answer
Answers
GPT-4o mini
To solve the equation \( 9x + 16 = 6x + 1 \), follow these steps:
1. Subtract \( 6x \) from both sides:
\[
9x - 6x + 16 = 1
\]
This simplifies to:
\[
3x + 16 = 1
\]
2. Next, subtract \( 16 \) from both sides:
\[
3x + 16 - 16 = 1 - 16
\]
This simplifies to:
\[
3x = -15
\]
3. Finally, divide both sides by \( 3 \):
\[
x = \frac{-15}{3} = -5
\]
So, the solution is:
\[
\boxed{-5}
\]
1. Subtract \( 6x \) from both sides:
\[
9x - 6x + 16 = 1
\]
This simplifies to:
\[
3x + 16 = 1
\]
2. Next, subtract \( 16 \) from both sides:
\[
3x + 16 - 16 = 1 - 16
\]
This simplifies to:
\[
3x = -15
\]
3. Finally, divide both sides by \( 3 \):
\[
x = \frac{-15}{3} = -5
\]
So, the solution is:
\[
\boxed{-5}
\]
Solve for x : 4x−3=3x−9
GPT-4o mini
To solve the equation \( 4x - 3 = 3x - 9 \), follow these steps:
1. Subtract \( 3x \) from both sides:
\[
4x - 3x - 3 = -9
\]
This simplifies to:
\[
x - 3 = -9
\]
2. Next, add \( 3 \) to both sides:
\[
x - 3 + 3 = -9 + 3
\]
This simplifies to:
\[
x = -6
\]
So, the solution is:
\[
\boxed{-6}
\]
1. Subtract \( 3x \) from both sides:
\[
4x - 3x - 3 = -9
\]
This simplifies to:
\[
x - 3 = -9
\]
2. Next, add \( 3 \) to both sides:
\[
x - 3 + 3 = -9 + 3
\]
This simplifies to:
\[
x = -6
\]
So, the solution is:
\[
\boxed{-6}
\]
Solve for x : 3x−3=6x+18 .
GPT-4o mini
To solve the equation \( 3x - 3 = 6x + 18 \), follow these steps:
1. Subtract \( 3x \) from both sides:
\[
3x - 3x - 3 = 6x - 3x + 18
\]
This simplifies to:
\[
-3 = 3x + 18
\]
2. Next, subtract \( 18 \) from both sides:
\[
-3 - 18 = 3x + 18 - 18
\]
This simplifies to:
\[
-21 = 3x
\]
3. Finally, divide both sides by \( 3 \):
\[
x = \frac{-21}{3} = -7
\]
So, the solution is:
\[
\boxed{-7}
\]
1. Subtract \( 3x \) from both sides:
\[
3x - 3x - 3 = 6x - 3x + 18
\]
This simplifies to:
\[
-3 = 3x + 18
\]
2. Next, subtract \( 18 \) from both sides:
\[
-3 - 18 = 3x + 18 - 18
\]
This simplifies to:
\[
-21 = 3x
\]
3. Finally, divide both sides by \( 3 \):
\[
x = \frac{-21}{3} = -7
\]
So, the solution is:
\[
\boxed{-7}
\]
Solve for x : 4x+8=3x−10
GPT-4o mini
To solve the equation \( 4x + 8 = 3x - 10 \), follow these steps:
1. Subtract \( 3x \) from both sides:
\[
4x - 3x + 8 = -10
\]
This simplifies to:
\[
x + 8 = -10
\]
2. Next, subtract \( 8 \) from both sides:
\[
x + 8 - 8 = -10 - 8
\]
This simplifies to:
\[
x = -18
\]
So, the solution is:
\[
\boxed{-18}
\]
1. Subtract \( 3x \) from both sides:
\[
4x - 3x + 8 = -10
\]
This simplifies to:
\[
x + 8 = -10
\]
2. Next, subtract \( 8 \) from both sides:
\[
x + 8 - 8 = -10 - 8
\]
This simplifies to:
\[
x = -18
\]
So, the solution is:
\[
\boxed{-18}
\]
Solve for x : 13x+26=3x−34 .
GPT-4o mini
To solve the equation \( 13x + 26 = 3x - 34 \), follow these steps:
1. Subtract \( 3x \) from both sides:
\[
13x - 3x + 26 = -34
\]
This simplifies to:
\[
10x + 26 = -34
\]
2. Next, subtract \( 26 \) from both sides:
\[
10x + 26 - 26 = -34 - 26
\]
This simplifies to:
\[
10x = -60
\]
3. Finally, divide both sides by \( 10 \):
\[
x = \frac{-60}{10} = -6
\]
So, the solution is:
\[
\boxed{-6}
\]
1. Subtract \( 3x \) from both sides:
\[
13x - 3x + 26 = -34
\]
This simplifies to:
\[
10x + 26 = -34
\]
2. Next, subtract \( 26 \) from both sides:
\[
10x + 26 - 26 = -34 - 26
\]
This simplifies to:
\[
10x = -60
\]
3. Finally, divide both sides by \( 10 \):
\[
x = \frac{-60}{10} = -6
\]
So, the solution is:
\[
\boxed{-6}
\]