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otez555 [7]
3 years ago
6

3/4x-5/6=2/3x how to solve?

Mathematics
1 answer:
Ronch [10]3 years ago
4 0

Answer:

The answer is 10.

Step-by-step explanation:

Multiply both sides of the equation by 12.

12( 3/4x - 5/6) = 12 times 2/3x.

Distribute 12 through the parenthesis.

12 times 3/4x - 12 times 5/6 = 12 times 2/3x.

Reduce the numbers with greatest common divisor 3.

12 times 3/4x - 12 times 5/6 = 4 times 2x.

Reduce the numbers with greatest common divisor 4.

3 times 3x - 12 times 5/6 = 4 times 2x.

Reduce the numbers with greatest common divisor 6.

3 times 3x - 2 times 5 = 4 times 2x.

Calculate the product, 4 times 2x.

3 times 3x - 2 times 5 = 8x.

Calculate the product 3 times 3x.

9x - 2 times 5 = 8x.

Multiply the numbers - 2 times 5.

9x -10 = 8x.

Move the constant to the right by adding its opposite to both sides.

9x - 10 + 10 = 8x + 10.

Eliminate the opposites, -10 + 10.

9x = 8x + 10.

Move the variable to the left by adding its opposite to both sides.

9x -8x = 8x -8x + 10.

Now eliminate the opposites

9x - 8x = 10.

Collect the like terms by subtracting their coefficients.

(9-8)x

Subtract the numbers.

1x.

When the term has a coefficient of 1, it doesn't have to be written, so it's basically x.

Then, x will equal to 10!

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