Solve for x: x=4+x divided by y-3
To solve for x in the equation x = 4 + (x / (y - 3)), we need to isolate x on one side of the equation.
Step 1: Multiply both sides of the equation by (y - 3) to get rid of the denominator:
(x)(y - 3) = 4(y - 3) + x
Step 2: Distribute on both sides of the equation:
xy - 3x = 4y - 12 + x
Step 3: Move all the x terms to one side of the equation:
xy - x = 4y - 3x - 12
Step 4: Combine like terms:
xy - x + 3x = 4y - 12
Step 5: Simplify the equation:
xy + 2x = 4y - 12
Step 6: Factor out x:
x(y + 2) = 4y - 12
Step 7: Divide both sides of the equation by (y + 2) to isolate x:
x = (4y - 12) / (y + 2)
Therefore, the solution for x is x = (4y - 12) / (y + 2).