Question

4.5x - 2/3 * (8x - 10) = 4 - 2x

Answer 1

Ответ:

$4.5x - \frac{2}{3} \times (8x - 10) = 4 - 2x \\ \frac{9}{2} x - \frac{16}{3} x + \frac{20}{3} = 4 - 2x \\ 27x - 32x + 40 = 24 - 12x \\ - 5x + 12x = 24 - 40 \\ 7 x = - 16 \\ x = - \frac{16}{7}$

Answer 2

Пошаговое объяснение:

4.5x - 2/3*(8x-10)=4-2x

9/2*16/3+20/3=4-2x

27x-32x+40=24-12x

-5x+40=24-12x

-5x+12x=-40+24

7x=-16

X=-16/7

Answer 3

To solve the equation for x, follow these steps:

Given equation: 4.5x - 2/3 * (8x - 10) = 4 - 2x

Step 1: Distribute the -2/3 inside the parentheses: 4.5x - 2/3 * 8x + 2/3 * 10 = 4 - 2x

Simplify: 4.5x - (16/3)x + 20/3 = 4 - 2x

Step 2: Combine like terms on both sides of the equation: (4.5x - 16/3x) + 20/3 = 4 - 2x

(4.5 - 16/3)x + 20/3 = 4 - 2x

(4.5 - 5.3333)x + 20/3 = 4 - 2x

(-0.8333)x + 20/3 = 4 - 2x

-0.8333x + 20/3 = 4 - 2x

Step 3: Add 2x to both sides to isolate the x terms on one side: -0.8333x + 2x + 20/3 = 4

(2 - 0.8333)x + 20/3 = 4

1.1667x + 20/3 = 4

Step 4: Subtract 20/3 from both sides: 1.1667x + 20/3 - 20/3 = 4 - 20/3

1.1667x = 12/3 - 20/3

1.1667x = -8/3

Step 5: Divide by 1.1667 to solve for x: x = (-8/3) / 1.1667

x ≈ -2.6665

So, the approximate solution for the equation is x ≈ -2.6665.