Question

Hey i need help ive been stuck on this question for hours. whats the answer to :

1/3 (3x + 9) = 1/2 (8x + 10)?​

Answer 1

Answer: x = -2/3

Step by step:

- Step 1: Simplify both sides of the equation.

- Step 2: Subtract 4x from both sides.

- Step 3: Subtract 3 from both sides.

- Step 4: Divide both sides by -3.

Answer 2

To solve the equation (1/3)(3x + 9) = (1/2)(8x + 10):

Step 1: Clear the fractions by multiplying both sides of the equation by 6 (the least common multiple of 3 and 2):

2(3x + 9) = 3(8x + 10)

Step 2: Distribute on both sides of the equation:

6x + 18 = 24x + 30

Step 3: Move the variable terms to one side of the equation and the constant terms to the other side:

6x - 6x + 18 - 18 = 24x - 6x + 30 - 18

Simplify:

0 = 18x + 12

Step 4: Isolate x by subtracting 12 from both sides:

0 - 12 = 18x + 12 - 12

Simplify:

-12 = 18x

Step 5: Finally, divide both sides by 18 to solve for x:

-12 / 18 = 18x / 18

Simplify:

-2/3 = x

So, the solution to the equation is x = -2/3.