Solve the rational equation quantity 2 times x plus 6 end quantity divided by 3 equals quantity 5 times x minus 1 divided by 7.

x = 45

x = 39

x = 14

x = 7

x = 45

Step-by-step explanation:

(2x + 6) / 3 = (5x - 1) / 7

Cross multiply

7 (2x + 6) = 3 (5x - 1)

Expand both expressions

14x + 42 = 15x - 3

Collect like terms

42 + 3 = 15x - 14x

45 = x

x = 45

Check:

7 (2*45 + 6) = 3 (5*45 - 1)

7 (90 + 6) = 3 (225 - 1)

7 * 96 = 3 * 224

672 = 672