To solve the equation \( 6(x + 2) - 10 = 4x + 28 \), follow these steps:
Distribute the \( 6 \) on the left side: \[ 6x + 12 - 10 = 4x + 28 \]
Combine like terms on the left side: \[ 6x + 2 = 4x + 28 \]
Subtract \( 4x \) from both sides: \[ 6x - 4x + 2 = 28 \] \[ 2x + 2 = 28 \]
Subtract \( 2 \) from both sides: \[ 2x = 26 \]
Divide both sides by \( 2 \): \[ x = 13 \]
So the solution to the equation is \( x = 13 \).