20) (x)/(3)=(5)/(5) 13) (x-1)/(x-5)=(6)/(7) 26) (2x+3)/(7)=(4x-1)/(15) (11x-2)/(7x+5)=(11)/(8) i 24) (2x-3)/(x+1)=(4)/(7) 21) (3)/(7)=(2x+1)/(3x+5) 30) (6x-5)/(-7)=(5x-3)/(-5)

Here's how to solve each of these equations:<br /><br />**20) x/3 = 5/5**<br /><br />* Simplify the right side: 5/5 = 1<br />* Multiply both sides by 3: x = 3<br /><br />**13) (x-1)/(x-5) = 6/7**<br /><br />* Cross-multiply: 7(x-1) = 6(x-5)<br />* Distribute: 7x - 7 = 6x - 30<br />* Subtract 6x from both sides: x - 7 = -30<br />* Add 7 to both sides: x = -23<br /><br />**26) (2x+3)/7 = (4x-1)/15**<br /><br />* Cross-multiply: 15(2x+3) = 7(4x-1)<br />* Distribute: 30x + 45 = 28x - 7<br />* Subtract 28x from both sides: 2x + 45 = -7<br />* Subtract 45 from both sides: 2x = -52<br />* Divide both sides by 2: x = -26<br /><br />**29) (11x-2)/(7x+5) = 11/8**<br /><br />* Cross-multiply: 8(11x-2) = 11(7x+5)<br />* Distribute: 88x - 16 = 77x + 55<br />* Subtract 77x from both sides: 11x - 16 = 55<br />* Add 16 to both sides: 11x = 71<br />* Divide both sides by 11: x = 71/11<br /><br />**24) (2x-3)/(x+1) = 4/7**<br /><br />* Cross-multiply: 7(2x-3) = 4(x+1)<br />* Distribute: 14x - 21 = 4x + 4<br />* Subtract 4x from both sides: 10x - 21 = 4<br />* Add 21 to both sides: 10x = 25<br />* Divide both sides by 10: x = 2.5<br /><br />**3/7 = (2x+1)/(3x+5)**<br /><br />* Cross-multiply: 3(3x+5) = 7(2x+1)<br />* Distribute: 9x + 15 = 14x + 7<br />* Subtract 9x from both sides: 15 = 5x + 7<br />* Subtract 7 from both sides: 8 = 5x<br />* Divide both sides by 5: x = 8/5<br /><br />**30) (6x-5)/-7 = (5x-3)/-5**<br /><br />* Cross-multiply: -5(6x-5) = -7(5x-3)<br />* Distribute: -30x + 25 = -35x + 21<br />* Add 35x to both sides: 5x + 25 = 21<br />* Subtract 25 from both sides: 5x = -4<br />* Divide both sides by 5: x = -4/5 <br />