To solve the equation -2(2x - 3) + 6x = 36, we need to follow these steps:
Step 1: Distribute the -2 to the terms inside the parentheses: -2 * 2x = -4x -2 * -3 = 6 The equation becomes: -4x + 6 + 6x = 36
Step 2: Combine like terms: -4x + 6x = 2x The equation becomes: 2x + 6 = 36
Step 3: Subtract 6 from both sides of the equation: 2x + 6 - 6 = 36 - 6 This simplifies to: 2x = 30
Step 4: Divide both sides of the equation by 2 to solve for x: 2x/2 = 30/2 This simplifies to: x = 15 So, the solution to the equation -2(2x - 3) + 6x = 36 is x = 15.
