Question

Describe the error in solving for x in the equation 12-2x=-2(y-x):

A) Incorrect distribution of -2
B) Incorrect use of the distributive property
C) Mistake in isolating variables
D) No error in solving for x

Answer 1

The error in solving for x in the equation 12-2x=-2(y-x) is incorrect distribution of -2. The correct steps to solve the equation involve distributing the -2 and isolating the variable x.

Step-by-step explanation:

The error in solving for x in the equation 12-2x=-2(y-x) is incorrect distribution of -2. To solve this equation, one should properly distribute the -2 on the right side of the equation. The correct steps to solve the equation are:

1. Distribute the -2 to both terms inside the parentheses: -2(y-x) = -2y + 2x
2. Combine like terms on both sides of the equation: 12 - 2x = -2y + 2x
3. Isolate the variable x by moving all terms containing x to one side of the equation: 12 - 2x - 2x = -2y + 2x - 2x
4. Simplify the equation: 12 - 4x = -2y
5. Continue solving for x by isolating it: -4x = -2y - 12
6. Lastly, divide by -4 to solve for x: x = (-2y - 12)/-4