Answer:
x = -4
Explanation:
To isolate the variable terms on one side and the constant terms on the other side of the equation -1/2x + 3 = 4 - 1/4x, we can follow these steps:
Move the constant term "3" to the right side of the equation by subtracting 3 from both sides:
-1/2x + 3 - 3 = 4 - 1/4x - 3
-1/2x = 1 - 1/4x
Combine like terms on each side of the equation:
-1/2x + 0 = 1 - 1/4x
Move the variable term "-1/4x" to the left side of the equation by adding 1/4x to both sides:
-1/2x + 1/4x = 1 - 1/4x + 1/4x
(-1/2 + 1/4)x = 1
Simplify the coefficients on the left side:
(-2/4 + 1/4)x = 1
(-1/4)x = 1
Multiply both sides of the equation by the reciprocal of -1/4, which is -4:
-4 * (-1/4)x = 1 * (-4)
x = -4
Therefore, the equation with the variable terms isolated on one side and the constant terms isolated on the other side is x = -4.