Order the steps for solving the equation: 2x−5=3(4x+5)
Step 1:
Property to get
Step 2:
Property to get
Step 3:
Property to get
Step 4:
Property to get
Step 1: Distribute the 3 on the right side of the equation, resulting in: 2x - 5 = 12x + 15.
Step 2: Subtract 12x from both sides of the equation to isolate the variable: 2x - 12x - 5 = 12x - 12x + 15, which simplifies to -10x - 5 = 15.
Step 3: Add 5 to both sides of the equation to move the constant term to the other side: -10x - 5 + 5 = 15 + 5, resulting in -10x = 20.
Step 4: Divide both sides of the equation by -10 to solve for x: (-10x)/-10 = 20/-10, simplifying to x = -2.
Step 1: Distribute the 3 across the parentheses: 2x - 5 = 12x + 15
Step 2: Combine like terms on both sides of the equation: -12x + 2x - 5 = 12x - 12x + 15
Step 3: Simplify the equation: -10x - 5 = 15
Step 4: Add 5 to both sides of the equation: -10x - 5 + 5 = 15 + 5
The correct order of steps for solving the equation 2x - 5 = 3(4x + 5) is:
Step 1: Distribute the 3 across the parentheses.
Step 2: Combine like terms on both sides of the equation.
Step 3: Simplify the equation.
Step 4: Add 5 to both sides of the equation.