6x + 18 = 4x +1

Combine like terms.

2x = -17

x = -8.5

6x - 4x = 1 - 18

2 x = -17

To solve the equation 6x + 18 = 4x + 1, we need to isolate the variable x.

Step 1: First, we can simplify both sides of the equation by combining like terms.

On the left side, we have 6x + 18. Since there are no like terms to combine, this remains the same.

On the right side, we have 4x + 1. Again, there are no like terms to combine, so this remains the same.

Therefore, the equation simplifies to:
6x + 18 = 4x + 1

Step 2: Next, we want to move all the terms containing x to one side of the equation. To do this, we can subtract 4x from both sides of the equation.

6x - 4x + 18 = 4x - 4x + 1

Simplifying further, we have:
2x + 18 = 1

Step 3: Now, we want to move the constant term (18) to the other side of the equation. We can do this by subtracting 18 from both sides.

2x + 18 - 18 = 1 - 18

Simplifying, we have:
2x = -17

Step 4: Finally, we can solve for x by isolating it on one side of the equation. Since 2x means 2 multiplied by x, we can divide both sides of the equation by 2.

(2x)/2 = (-17)/2

Simplifying further, we have:
x = -17/2

So, the solution to the equation 6x + 18 = 4x + 1 is x = -17/2.