Final answer:
To find the solution for x in the equation -x(3/7) = 2x - (25/7), you need to simplify the equation by combining like terms and solving for x, which gives the solution x = 25/17.
Step-by-step explanation:
To solve for x in the equation -x(3/7) = 2x - (25/7), first, we need to get rid of the negative sign by multiplying both sides by -1, which will give us:
x(3/7) = -2x + (25/7)
Now we want to get all the terms with x on one side and the constant on the other:
x(3/7) + 2x = (25/7)
To combine like terms, we'll first convert 2x to a fraction with the same denominator:
x(3/7) + (2x)(7/7) = (25/7)
(3/7)x + (14/7)x = (25/7)
Combining the x terms we get:
(17/7)x = (25/7)
Now we solve for x by dividing both sides by (17/7):
x = (25/7) / (17/7)
x = 25/17
So, the solution for x is 25/17.