15x-5=7+12x

X=4

To solve the equation 15x - 5 = 7 + 12x, we want to isolate the variable x on one side of the equation.

Step 1: Simplify both sides of the equation by combining like terms.
On the left side, we have 15x - 5, and on the right side, we have 7 + 12x.
Combining like terms, we get:
15x - 5 = 12x + 7

Step 2: Move the terms involving x to one side of the equation.
To do this, we can subtract 12x from both sides of the equation, which will eliminate the x term from the right side:
15x - 12x - 5 = 12x - 12x + 7
This simplifies to:
3x - 5 = 7

Step 3: Move the constant term to the other side of the equation.
To do this, we can add 5 to both sides of the equation:
3x - 5 + 5 = 7 + 5
This simplifies to:
3x = 12

Step 4: Solve for x by isolating x on one side of the equation.
To isolate x, we divide both sides of the equation by 3:
(3x)/3 = 12/3
This simplifies to:
x = 4

Therefore, the solution to the equation 15x - 5 = 7 + 12x is x = 4.