A barge moves 7km/hr in still water. It travels 45km upriver and 45km downriver in a total time of 14 hr. What is the speed of the current.

Step-by-step explanation:

2 (3x-5) + 4x-10=4x+2 (x+6)

Step 1: Simplify both sides of the equation.

2 (3x-5) + 4x-10=4x+2 (x+6)

(2) (3x) + (2) (-5) + 4x+-10=4x + (2) (x) + (2) (6) (Distribute)

6x+-10+4x+-10=4x+2x+12

(6x+4x) + (-10+-10) = (4x+2x) + (12) (Combine Like Terms)

10x+-20=6x+12

10x-20=6x+12

Step 2: Subtract 6x from both sides.

10x-20-6x=6x+12-6x

4x-20=12

Step 3: Add 20 to both sides.

4x-20+20=12+20

4x=32

Step 4: Divide both sides by 4.

4x/4 = 32/4

x=8