literal equation:
solve for x
ax=bx-c
ax=bx-c
ax - bx = -c
x(a-b) = -c
x = -c/(a-b) or c/(b-a)
ok I was getting confused on pulling the x to one side, thank you for explaining out.
now if I had to put in specific question
8x=3x-10, would I -3x on both sides
8x-3x=-10
5x=-10
x=-2??
yes, good job
To solve the literal equation ax = bx - c for x, you can follow these steps:
Step 1: Start by isolating the variable x on one side of the equation.
To do this, subtract bx from both sides of the equation:
ax - bx = bx - bx - c
This simplifies to:
ax - bx = -c
Step 2: Factor out the common variable x from the left side of the equation.
Taking out x as a common factor gives us:
x(a - b) = -c
Step 3: Finally, divide both sides of the equation by (a - b) to solve for x.
Dividing both sides by (a - b) gives us:
x = (-c) / (a - b)
Therefore, the solution for x in the equation ax = bx - c is x = (-c) / (a - b).