Solve the Linear Equation: 6x+18+2x=6-4 Step by Step

The equation we need to solve is $6x + 18 + 2x = 6 - 4$.

Step 1: Simplify each side of the equation.
On the left side, we have two like terms involving $x$: $6x$ and $2x$. We can combine these terms:

$6x + 2x = 8x$.

Thus, the equation becomes:

$8x + 18 = 6 - 4$.

On the right side, simplify $6 - 4$ to get:

$2$.

The equation now reads:

$8x + 18 = 2$.

Step 2: Isolate the variable $x$.
Subtract 18 from both sides to move the constant term on the right side:

$8x + 18 - 18 = 2 - 18$.

This simplifies to:

$8x = -16$.

Next, divide both sides by 8 to solve for $x$:

$x = \frac{-16}{8}$.

This simplifies to:

$x = -2$.

Therefore, the solution to the equation $6x + 18 + 2x = 6 - 4$ is $x = -2$.