Question

(3x + 1)/5 = 2 * (- 4(x - 3))/15​

Answer 1

3х+ 1\5=2-4(х-3)/15;

3х+1\5=2-4х+12/15;

15(3х+1/5)=2-4х+12;

45х+3=2-4х+12;

45х+4х=2+12-3;

49х=11;

х=0,22.

Answer 2

Пошаговое объяснение:

(3х + 1)/5 = 2 * (-4(х - 3))/15

(3х + 1)/5 = 2 * (-4х + 12)/15

(3х + 1)/5 = (-8х + 24)/15

15(3х + 1) = 5(-8х + 24)

45х + 15 = -40х + 120

45х + 40х = 120 - 15

85х = 105

х = 105/85

х = 21/17

х = 1 4/17

Answer 3

To solve the equation:

(3x + 1)/5 = 2 * (-4(x - 3))/15

Let's simplify the equation step by step:

1. Distribute the -4 to (x - 3) inside the parentheses:

(3x + 1)/5 = 2 * (-4x + 12)/15

2. Simplify the expression on the right side by multiplying 2 to both terms inside the parentheses:

(3x + 1)/5 = (-8x + 24)/15

3. Cross-multiply to eliminate the fractions:

15(3x + 1) = 5(-8x + 24)

45x + 15 = -40x + 120

4. Combine like terms:

45x + 15 + 40x = 120

85x + 15 = 120

5. Move the constant term to the other side of the equation by subtracting 15 from both sides:

85x = 120 - 15

85x = 105

6. Solve for x by dividing both sides by 85:

x = 105/85

x = 21/17

So the solution to the equation is x = 21/17.