Question

solve the equation
5x + 1 = 4x

select the correct choice below and, if necessary, fill in the answer box to complete your choice.
a. the solution is x = \boxed{}. (type an integer or a fraction.)
b. the solution is all real numbers.
c. there is no solution.

Explanation:

Step1: Subtract 4x from both sides

To isolate the variable \( x \), we subtract \( 4x \) from both sides of the equation \( 5x + 1 = 4x \). This gives us \( 5x - 4x + 1 = 4x - 4x \). Simplifying both sides, we have \( x + 1 = 0 \).

Step2: Subtract 1 from both sides

Next, we subtract 1 from both sides of the equation \( x + 1 = 0 \) to solve for \( x \). This results in \( x + 1 - 1 = 0 - 1 \), which simplifies to \( x = -1 \).

Answer:

A. The solution is \( x = -1 \)