5(4𝑥−4)=5(3𝑥+3)

Sure, let's solve the equation step by step:

1. Distribute the 5 on both sides of the equation:

   5 * 4x - 5 * 4 = 5 * 3x + 5 * 3 This simplifies to: 20x - 20 = 15x + 15

2. Now, let's get all the x terms on one side and the constants on the other side. Subtract 15x from both sides and add 20 to both sides:

   20x - 15x = 15 + 20 This simplifies to: 5x = 35

3. Finally, to solve for x, divide both sides by 5:

   x = 35 / 5 So, x = 7

Therefore, the solution to the equation 5(4x - 4) = 5(3x + 3) is x = 7.