Question

(-2x + 3) * 5/8 = (x - 1 1/2) * 2/3 1) 1 1/2 2) 1/2 3)-1 1/2

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

To solve the equation (-2x + 3) * 5/8 = (x - 1 1/2) * 2/3, you can follow these steps:

1. First, simplify both sides of the equation by multiplying both sides by their respective denominators to eliminate fractions.

Multiply both sides by 8 to get rid of the fraction on the left side:

8 * (-2x + 3) * 5/8 = 8 * (x - 1 1/2) * 2/3

This simplifies to:

-2x + 3 = 4 * (x - 1 1/2) * 2/3

2. Now, simplify the right side further by multiplying:

-2x + 3 = (8/3) * (x - 1 1/2)

3. Distribute the (8/3) on the right side:

-2x + 3 = (8/3) * x - (8/3) * (1 1/2)

4. Next, calculate (8/3) * (1 1/2):

(8/3) * (1 1/2) = (8/3) * (3/2) = 4/2 = 2

So, the equation becomes:

-2x + 3 = (8/3) * x - 2

5. Now, isolate the x terms on one side and the constant terms on the other side. Let's move the x terms to the left side by subtracting (8/3) * x from both sides and move the constant terms to the right side by subtracting 3 from both sides:

-2x - (8/3) * x = -2 - 3

6. Combine like terms on each side:

-2x - (8/3) * x = -5

To combine the terms on the left side, find a common denominator:

-6x/3 - (8/3) * x = -5

-6x - 8x = -5

-14x = -5

7. Now, solve for x by dividing both sides by -14:

(-14x)/(-14) = (-5)/(-14)

x = 5/14

So, the solution to the equation is:

x = 5/14

None of the answer choices provided (1 1/2, 1/2, -1 1/2) match the solution of the equation.