Use the distributive property to solve the equation for x

7(x-2)-3(x+3)=5(x-3)+x

9514 1404 393

  x = -4

Step-by-step explanation:

The distributive property is used to eliminate parentheses.

  7(x -2) -3(x +3) = 5(x -3) +x . . . . given

  7x -14 -3x -9 = 5x -15 +x . . . . . eliminate parentheses

  4x -23 = 6x -15 . . . . . . . . . . . collect terms

  -8 = 2x . . . . . . . . . . . . . . subtract 4x+15 from both sides

  -4 = x . . . . . . . . . . . . divide by 2

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Check

  7(-4 -2) -3(-4 +3) = 5(-4 -3) +(-4)

  7(-6) -3(-1) = 5(-7) -4

  -42 +3 = -35 -4

  -39 = -39 . . . . . answer checks OK

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x