Question

-1(x - 4) = 2(x + 1)

Answer 1

Ответ:

-x+4=2x+2

2x-x=4-2

x=2

Answer 2

To solve the equation -1(x - 4) = 2(x + 1), follow these steps:

1. Distribute the -1 and 2 on both sides of the equation to remove the parentheses: -1(x) + (-1)(-4) = 2(x) + 2(1)

2. Simplify the equation further by performing the multiplications: -x + 4 = 2x + 2

3. Move the terms involving x to one side of the equation and the constants to the other side. You can do this by adding x to both sides and subtracting 4 from both sides: -x - 2x = 2 - 4

4. Combine like terms on each side of the equation: -3x = -2

5. Finally, isolate x by dividing both sides of the equation by -3: x = (-2) / (-3)

Now, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 1: x = 2/3

So, the solution to the equation -1(x - 4) = 2(x + 1) is x = 2/3.