Question

При якому значенні х різниця виразів 2х і 4(х +4) дорівнює 2х-3?

Answer 1

Пошаговое объяснение:

$2x - 4(x + 4) = 2x - 3$

$2x - 4x - 16 - 2x + 3 = 0$

$- 4x - 13 = 0$

$4x = - 13$

$x = - 3.25$

Answer 2

Calculation of the Expression 2x and 4(x + 4) and its Equality to 2x - 3

To find the value of x that makes the expression 2x and 4(x + 4) equal to 2x - 3, we can set up an equation and solve for x.

Let's break down the expression step by step:

The expression 2x represents twice the value of x.

The expression 4(x + 4) represents four times the sum of x and 4.

To find the value of x that makes the expression 2x and 4(x + 4) equal to 2x - 3, we can set up the equation:

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

Now, let's solve the equation:

2x + 4x + 16 = 2x - 3

Combining like terms:

6x + 16 = 2x - 3

Subtracting 2x from both sides:

6x - 2x + 16 = 2x - 2x - 3

Simplifying:

4x + 16 = -3

Subtracting 16 from both sides:

4x + 16 - 16 = -3 - 16

Simplifying:

4x = -19

Dividing both sides by 4:

4x/4 = -19/4

Simplifying:

x = -19/4

Therefore, the value of x that makes the expression 2x and 4(x + 4) equal to 2x - 3 is x = -19/4.

Please note that the equation was solved using algebraic methods.