Question

3(x-2)=x+2 5-2(x-1)=4-x

Answer 1

Ответ:

3(x-2)=x+2

3x-6=x+2

3x-x=6+2

2x=8

x=8:2

x=4

Ответ:4

5-2(x-1)=4-x

5-2x+2=4-x

2x+x=4-2-5

3x=-3

x=-1

Ответ:-1

Answer 2

To solve these equations, we'll follow the steps to isolate the variable (x) on one side of the equation. Let's solve each equation step by step:

Equation 1: 3(x - 2) = x + 2

Step 1: Distribute the 3 on the left side of the equation: 3x - 6 = x + 2

Step 2: Subtract x from both sides to isolate the variable terms on one side: 3x - x - 6 = 2

Simplify: 2x - 6 = 2

Step 3: Add 6 to both sides to isolate the term with x: 2x = 8

Step 4: Divide both sides by 2 to solve for x: x = 4

So, the solution for the first equation is x = 4.

Equation 2: 5 - 2(x - 1) = 4 - x

Step 1: Distribute the -2 on the left side of the equation: 5 - 2x + 2 = 4 - x

Simplify: 7 - 2x = 4 - x

Step 2: Add 2x to both sides to get x terms on one side: 7 = 4 + x

Step 3: Subtract 4 from both sides to isolate the x term: 3 = x

So, the solution for the second equation is x = 3.

To summarize:

1. The solution for the equation 3(x - 2) = x + 2 is x = 4.
2. The solution for the equation 5 - 2(x - 1) = 4 - x is x = 3.