Question

3(5х-1)-2(2х+4)=(8х+1)-(3х-7) решите​

Answer 1

Ответ:

$x = \frac{19}{6}$

Объяснение:

3(5x - 1) - 2(2x + 4) = (8x + 1) - (3x - 7)

15x - 3 - 4x - 8 = 8x + 1 - 3x + 7

11x - 11 = 5x + 8

11x - 5x = 8 + 11

6x = 19

x = $\frac{19}{6}$

Answer 2

To solve the equation, we'll start by simplifying both sides step by step. Let's proceed:

1. Distribute the numbers outside the parentheses: 3(5x - 1) = 15x - 3 -2(2x + 4) = -4x - 8 8x + 1 = 8x + 1 -3x + 7 = -3x + 7

2. Now, let's rewrite the original equation with the simplified expressions: (15x - 3) - (-4x - 8) = (8x + 1) - (-3x + 7)

3. Remove the parentheses by applying the distributive property again: 15x - 3 + 4x + 8 = 8x + 1 + 3x - 7

4. Combine like terms on both sides: 19x + 5 = 11x - 6

5. Move the variable terms to one side and the constant terms to the other side. To do this, we'll subtract 11x from both sides and add 6 to both sides: 19x - 11x = -6 - 5

6. Simplify the equation further: 8x = -11

7. Finally, isolate x by dividing both sides by 8: x = -11 / 8

So, the solution to the equation is: x = -11 / 8