Final answer:
To find the solution to the linear equation (2x + 1)/5 - (3x)/10 = (x - 1)/4, we need to simplify and solve for x. Multiplying both sides of the equation by the lowest common denominator and combining like terms, we find that x = 3.
Step-by-step explanation:
To find the solution to the linear equation (2x + 1)/5 - (3x)/10 = (x - 1)/4, we need to simplify and solve for x. We can start by getting rid of the fractions by multiplying both sides of the equation by the lowest common denominator, which is 20. This gives us 4(2x + 1) - 2(3x) = 5(x - 1). Simplifying further, we have 8x + 4 - 6x = 5x - 5. Combining like terms, we get 2x + 4 = 5x - 5. Subtracting 2x and adding 5 to both sides, we get 9 = 3x. Dividing both sides by 3, we find x = 3.