2. Find the value of x needed to mak e the equation below true. 1.5(2x-4)=2(4x+2)

To find the value of x that makes the equation true, we need to solve the equation step by step.<br /><br />Given equation: $1.5(2x-4)=2(4x+2)$<br /><br />Step 1: Distribute the numbers inside the parentheses.<br />$1.5 \cdot 2x - 1.5 \cdot 4 = 2 \cdot 4x + 2 \cdot 2$<br />$3x - 6 = 8x + 4$<br /><br />Step 2: Move all the x terms to one side of the equation and the constant terms to the other side.<br />$3x - 8x = 4 + 6$<br />$-5x = 10$<br /><br />Step 3: Divide both sides of the equation by -5 to solve for x.<br />$x = \frac{10}{-5}$<br />$x = -2$<br /><br />Therefore, the value of x needed to make the equation true is -2.