To solve the equation 2(x + 8) = 2x + 8, we will simplify both sides of the equation step-by-step while justifying each step.
Step 1: Distribute the 2 to the terms inside the parentheses on the left side.
2(x + 8) = 2x + 8
2x + 16 = 2x + 8
Reasoning: We distribute the 2 to each term inside the parentheses, which gives us 2 times x and 2 times 8.
Step 2: Subtract 2x from both sides of the equation.
2x + 16 - 2x = 2x + 8 - 2x
16 = 8
Reasoning: By subtracting 2x from both sides, we eliminate the 2x term on the right side, leaving us with a constant value.
Step 3: Evaluate the equation
16 = 8
Reasoning: Since 16 does not equal 8, there is no solution to this equation.
Conclusion: The equation 2(x + 8) = 2x + 8 has no solution.
4. Solve the equation justifying each step with the correct reasoning.
2(x+8)=2x+8
1 answer