Question

1) 3x-8=2x+15 2)x/6-x/8=-2 3) 2(x-5)-(x+7)=2x-9​

Answer 1

Ответ:

Объяснение:

1) 3x-8=2x+15;

x=23.

2)x/6-x/8=-2 ;

x/24 = -2;

x=-2*24;

x= -48.

3) 2(x-5)-(x+7)=2x-9​;

2x-10-x-7=2x-9;

2x-x-2x=-9+7+10;

-x=8;

x=-8.

Answer 2

Let's solve each equation step by step:

1. 3x - 8 = 2x + 15

To isolate the variable x, we need to move all the terms involving x to one side of the equation. Let's subtract 2x from both sides:

3x - 2x - 8 = 2x - 2x + 15

Simplifying the equation:

x - 8 = 15

Next, we'll isolate x by moving the constant term (-8) to the other side. Let's add 8 to both sides:

x - 8 + 8 = 15 + 8

Simplifying further:

x = 23

Therefore, the solution to the equation is x = 23.

2. x/6 - x/8 = -2

To simplify this equation, we'll find a common denominator for the fractions, which is 24. Let's multiply the first fraction by 4/4 and the second fraction by 3/3:

(4/4)(x/6) - (3/3)(x/8) = -2

Simplifying:

4x/24 - 3x/24 = -2

Combining like terms:

(4x - 3x)/24 = -2

x/24 = -2

To solve for x, we'll multiply both sides of the equation by 24:

(24)(x/24) = (-2)(24)

x = -48

The solution to the equation is x = -48.

3. 2(x - 5) - (x + 7) = 2x - 9

Let's simplify the equation step by step:

Start by distributing the 2 to the terms inside the parentheses:

2x - 10 - (x + 7) = 2x - 9

Next, remove the parentheses:

2x - 10 - x - 7 = 2x - 9

Combine like terms:

x - 17 = 2x - 9

To isolate x, let's subtract x from both sides:

x - x - 17 = 2x - x - 9

Simplifying:

-17 = x - 9

Now, add 9 to both sides:

-17 + 9 = x - 9 + 9

Simplifying further:

-8 = x

The solution to the equation is x = -8.