12x – 4 = 4(x + 5)

1 answer

To solve the equation \( 12x - 4 = 4(x + 5) \), start by distributing on the right side:

\[ 4(x + 5) = 4x + 20 \]

Now, rewrite the equation:

\[ 12x - 4 = 4x + 20 \]

Next, isolate \( x \) by first subtracting \( 4x \) from both sides:

\[ 12x - 4x - 4 = 20 \]

This simplifies to:

\[ 8x - 4 = 20 \]

Now, add \( 4 \) to both sides:

\[ 8x = 20 + 4 \]

\[ 8x = 24 \]

Now, divide both sides by \( 8 \):

\[ x = \frac{24}{8} \]

\[ x = 3 \]

Thus, the solution to the equation is:

\[ \boxed{3} \]