Step 1: Combine like terms:
We have -12 - 1 on the left side, and -10x + 7 on the right side. So, the equation becomes:
5x - 13 = -10x + 6
Step 2: Get x-terms on the same side of the equation:
To get the x-terms on the same side, let's add 10x to both sides of the equation. This gives us:
5x + 10x - 13 = 6
Step 3: Get the constants on the same side of the equation:
To get the constants on the same side, let's add 13 to both sides of the equation. This gives us:
15x = 6 + 13
Step 4: Get the x by itself by using the inverse operation:
To isolate x, we need to divide both sides of the equation by 15. This gives us:
x = (6 + 13)/15
Simplifying the right side:
x = 19/15