Order the steps for solving the equation: 2x−5=3(4x+5)
(8 points)
2x−5=3(4x+5)
1. Distribute the 3 to the terms inside the parentheses: 2x−5=12x+15
2. Combine like terms on each side of the equation: 2x−12x=15+5
3. Simplify the equation: -10x=20
4. Divide both sides of the equation by -10: x=-2
Here are the steps for solving the equation 2x - 5 = 3(4x + 5):
Step 1: Distribute the 3 to the terms inside the parentheses:
2x - 5 = 3 * 4x + 3 * 5
Step 2: Simplify the expression on the right side:
2x - 5 = 12x + 15
Step 3: Move all terms with x to one side of the equation by subtracting 12x from both sides:
2x - 12x - 5 = 12x - 12x + 15
Step 4: Simplify the equation:
-10x - 5 = 15
Step 5: Move the constant term to the other side of the equation by adding 5 to both sides:
-10x - 5 + 5 = 15 + 5
Step 6: Simplify the equation:
-10x = 20
Step 7: Divide both sides of the equation by -10 to solve for x:
-10x / -10 = 20 / -10
Step 8: Simplify the equation:
x = -2
Therefore, the solution to the equation 2x - 5 = 3(4x + 5) is x = -2.