Solve Linear Equation: 2-5x+4-1x=0 with Like Terms

To solve the equation $2 - 5x + 4 - 1x = 0$, we proceed as follows:

• Step 1: Simplify the left side of the equation.

Combine the constant terms $2$ and $4$:

$2 + 4 = 6$

Combine the terms involving $x$:

$-5x - 1x = -6x$

Thus, the equation becomes:

$6 - 6x = 0$

• Step 2: Isolate the variable $x$.

Move $6$ to the other side of the equation by subtracting $6$ from both sides:

$-6x = -6$

Divide both sides by $-6$ to solve for $x$:

$x = \frac{-6}{-6} = 1$

Therefore, the solution to the equation is $x = 1$.