The given equation is:
(x - 2)/2 + (4x - 4)/5 = 2 - 3x + 6/10
To solve this equation, we need to find a common denominator for the fractions on both sides. The least common multiple (LCM) of 2, 5, and 10 is 10. Multiplying each term by 10, we get:
5(x - 2) + 2(4x - 4) = 20 - 30x + 6
Simplifying this equation gives us:
5x - 10 + 8x - 8 = 26 - 30x
Combining like terms, we have:
13x - 18 = 26 - 30x
Moving all the variables to one side and constants to the other side:
43x = 44
Dividing both sides by 43, we get:
x = 44/43
Therefore, the solution to the equation is x = 44/43.
Restrictions:
There are no restrictions on the variable x in this equation.
Solve each rational equation. State the restrictions.
𝑥−2/2+ 4𝑥−4/5= 2 −3𝑥+6/10
1 answer