Question

Решите уравнение 4(х-2)=2х+6

Answer 1

4(x-2)=2x+6
4x-8=2x+6
4x-2x=6+8
2x=14
x=7

Answer 2

4х-8=2х+6
4х-2х=8+6
2х=14
х=7

Answer 3

I can help you solve the equation 4(x-2)=2x+6. Here are the steps:

- First, we need to expand the parentheses by multiplying 4 with x and -2. This gives us 4x-8=2x+6. - Next, we need to collect the terms with x on one side and the constants on the other. To do this, we subtract 2x from both sides and add 8 to both sides. This gives us 2x=14. - Finally, we need to isolate x by dividing both sides by 2. This gives us x=7.

Therefore, the solution of the equation is x=7. You can check this by plugging it back into the original equation and verifying that both sides are equal.

You can also use online tools to solve equations, such as [Microsoft Math Solver](https://mathsolver.microsoft.com/en/solve-problem/4%20%28%20x%20-%206%20%29%20%3D%202%20x%20%2B%206) or [MathPapa](https://www.mathpapa.com/algebra-calculator.html). They can show you the steps and provide more examples.