Solve for x: 8x − 5 = 3x + 20

Answer 1

To solve the equation \( 8x - 5 = 3x + 20 \), follow these steps:

1. Subtract \( 3x \) from both sides of the equation: \[ 8x - 3x - 5 = 20 \] This simplifies to: \[ 5x - 5 = 20 \]

2. Next, add \( 5 \) to both sides: \[ 5x - 5 + 5 = 20 + 5 \] This gives us: \[ 5x = 25 \]

3. Finally, divide both sides by \( 5 \): \[ x = \frac{25}{5} \] Simplifying this yields: \[ x = 5 \]

So, the solution is \( x = 5 \).

Answer 2

Solve for x: 10x + 5 = 7x − 16

Answer 3

To solve the equation \( 10x + 5 = 7x - 16 \), follow these steps:

1. Subtract \( 7x \) from both sides of the equation: \[ 10x - 7x + 5 = -16 \] This simplifies to: \[ 3x + 5 = -16 \]

2. Next, subtract \( 5 \) from both sides: \[ 3x + 5 - 5 = -16 - 5 \] This gives us: \[ 3x = -21 \]

3. Finally, divide both sides by \( 3 \): \[ x = \frac{-21}{3} \] Simplifying this yields: \[ x = -7 \]

So, the solution is \( x = -7 \).