Susan wants to have a business cards printed. one style cost$25 plus$.02 per card. another style will cost $10 plus $0.05 per card. for how many cards will the cost be the same for both styles?

25 + .02x = 10 + .05x
Now multiply all by 100 to clear the decimals...
2500 + 2x = 1000 + 5x
Subtract 1000 from both sides
1500 + 2x = 5x
Now subtract 2x and then divide by 3...
1500 = 3x
x = 500 cards

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The answer is 300.
Let's solve your equation step-by-step.25+0.2x=10+0.25xStep 1: Simplify both sides of the equation.0.2x+25=0.25x+10Step 2: Subtract 0.25x from both sides.0.2x+25−0.25x=0.25x+10−0.25x−0.05x+25=10Step 3: Subtract 25 from both sides.−0.05x+25−25=10−25−0.05x=−15Step 4: Divide both sides by -0.05.−0.05x−0.05=−15−0.05x=300x=300