The function image is used to solve x, and the written calculation test is: (1) 5x-3 = x + 2; (2) 0.5x-4 = 3x + 2

The function image is used to solve x, and the written calculation test is: (1) 5x-3 = x + 2; (2) 0.5x-4 = 3x + 2

(1) 5x-3 = x + 2, sort out and get the image of 4x-5 = 0 and function y = 4x-5 as shown in the figure below. From the image, we can see that the coordinates of the intersection of the line y = 4x-5 and the X axis are (54, 0), so the solution of the equation 5x-3 = x + 2 is x = 54. Test: substitute x = 54 into the left and right sides of the equation, and get the left = 5 × 54-3 = 134, right = 54 + 2 = 134, ∵ left = right, ∵ x = 54 is the solution of the equation 5x-3 = x + 2; (2) 0.5x-4 = 3x + 2, The image of 2.5x + 6 = 0 and the function y = 2.5x + 6 is shown in the figure below. From the image, we can see that the coordinates of the intersection of the line y = 2.5x + 6 and the X axis are (- 2.4, 0), so the solution of the equation 0.5x-4 = 3x + 2 is x = - 2.4