Answer:
2
Step-by-step explanation:
Distribute the 2/3
-> 2/3 x - 10/12 = 1/2
now isolate the x. So add 10/12 to the other side of the equation
->2/3x = 16/12 (don't forget need a common denominator when adding fractions)
Divide 2/3 to both sides to get x by itself.
When you divide 2/3 on the left side you will be left will x
To divide a fraction by a fraction, you flip the fraction and multiply it. (multiply by the conjugate)
-> (16/12) / (2/3) is the same as (16/12) x (3/2)
Multiply that out:
->16 x 3 = 48 and 12 x 2 = 24.
Left with 48/24
Simplify that and =2
*you can also check that the answer is correct by plugging in the value
2/3 (2-5/4) and that will equal 1/2