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!
