Question

4(x-3)-12x=3(2-x)+7= Розкрити дужки

Answer 1

Ответ:

Смотри решение на фото....

Answer 2

Solving the Equation 4(x-3)-12x=3(2-x)+7

To solve the given equation 4(x-3)-12x=3(2-x)+7, we will start by simplifying the expression by expanding and simplifying the terms within the parentheses.

Step 1: Expand and Simplify

First, let's expand and simplify the left-hand side of the equation: 4(x-3)-12x

Expanding the expression inside the parentheses: 4x - 12 - 12x

Now, let's expand and simplify the right-hand side of the equation: 3(2-x)+7

Expanding the expression inside the parentheses: 6 - 3x + 7

Simplifying further: 13 - 3x

So, the equation becomes: 4x - 12 - 12x = 13 - 3x

Step 2: Combine Like Terms

Next, we'll combine like terms on both sides of the equation.

On the left-hand side: 4x - 12 - 12x simplifies to -8x - 12

On the right-hand side: 13 - 3x remains as 13 - 3x

So, the equation becomes: -8x - 12 = 13 - 3x

Step 3: Solve for x

Now, we'll solve for x by isolating the x term on one side of the equation.

Adding 3x to both sides of the equation: -8x + 3x - 12 = 13

Simplifying: -5x - 12 = 13

Adding 12 to both sides of the equation: -5x = 25

Finally, solving for x by dividing both sides by -5: x = -5

Conclusion

The solution to the equation 4(x-3)-12x=3(2-x)+7 is x = -5.