To solve the equation \( 4(3x + 2) + 3 = 35 \), let's follow these steps: 1. Distribute the \( 4 \): \[ 4 \cdot 3x + 4 \cdot 2 + 3 = 35 \] Which simplifies to: \[ 12x + 8 + 3 = 35 \] 2. Combine like terms on the left side: \[ 12x + 11 = 35 \] 3. Subtract \( 11 \) from both sides: \[ 12x = 35 - 11 \] This simplifies to: \[ 12x = 24 \] 4. Divide both sides by \( 12 \): \[ x = \frac{24}{12} \] Thus, we find: \[ x = 2 \] The solution to the equation is \( x = 2 \).

4(3x+2)+3=35

1 answer

To solve the equation \( 4(3x + 2) + 3 = 35 \), let's follow these steps:

Distribute the \( 4 \): \[ 4 \cdot 3x + 4 \cdot 2 + 3 = 35 \] Which simplifies to: \[ 12x + 8 + 3 = 35 \]
Combine like terms on the left side: \[ 12x + 11 = 35 \]
Subtract \( 11 \) from both sides: \[ 12x = 35 - 11 \] This simplifies to: \[ 12x = 24 \]
Divide both sides by \( 12 \): \[ x = \frac{24}{12} \] Thus, we find: \[ x = 2 \]

The solution to the equation is \( x = 2 \).