Let's solve your equation step-by-step.
(3x−2)(x+6)−(x−1)(2x)=103
Step 1: Simplify both sides of the equation.
x2+18x−12=103
Step 2: Subtract 103 from both sides.
x2+18x−12−103=103−103
x2+18x−115=0
Step 3: Factor left side of equation.
(x−5)(x+23)=0
Step 4: Set factors equal to 0.
x−5=0 or x+23=0
x=5 or x=−23
Answer:
x=5 or x=−23
