To simplify the expression 5x + 7y × 12x ÷ 8y, let's break it down step by step:
Start with the multiplication: 7y × 12x. Multiply the coefficients: 7 × 12 = 84. Multiply the variables: y × x = xy. So the multiplication simplifies to 84xy.
Move on to the division: 84xy ÷ 8y. Divide the coefficients: 84 ÷ 8 = 10. Divide the variables: xy ÷ y = x. So the division simplifies to 10x.
Finally, add the remaining term: 5x + 10x. Add the coefficients: 5 + 10 = 15. So the final simplified expression is 15x.
