For which equation is the order of steps to first divide both sides by 2 and then to subtract 10 from both sides?(1 point) Responses 2(x − 10) = 16 2 Left Parenthesis x minus 10 Right Parenthesis equals 16 2x + 10 = 16 2 x plus 10 equals 16 2(x + 10) = 16 2 Left Parenthesis x plus 10 Right Parenthesis equals 16 10(x + 2) = 16 10 Left Parenthesis x plus 2 Right Parenthesis equals 16
The correct equation is: 2(x + 10) = 16
The equation for which the order of steps is first divide both sides by 2 and then subtract 10 from both sides is:
2(x - 10) = 16
The equation for which the order of steps is first to divide both sides by 2 and then to subtract 10 from both sides is the equation:
2(x − 10) = 16
To explain how to arrive at this answer, we need to understand the order of operations in algebra. The general rule of thumb is to solve equations by performing operations in the following order:
1. Parentheses or brackets.
2. Exponents or powers.
3. Multiplication and division (from left to right).
4. Addition and subtraction (from left to right).
In this case, we want to divide both sides by 2 and then subtract 10 from both sides. Let's break down each equation option to determine the correct one:
1. 2(x − 10) = 16: The equation already has the form to first divide both sides by 2 and then subtract 10 from both sides because there is only one term inside the parentheses.
2. 2x + 10 = 16: This equation does not match our desired order since we would have to subtract 10 before dividing both sides by 2.
3. 2(x + 10) = 16: This equation does not match our desired order since we would have to divide both sides by 2 before subtracting 10.
4. 10(x + 2) = 16: This equation does not match our desired order since we would have to divide both sides by 10 before subtracting 2.
By carefully analyzing each equation, we can conclude that the correct equation that matches the order of steps is:
2(x − 10) = 16