The output is one fifth of the input
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  y = 1/5x

Step-by-step explanation:

We often use "y" to represent the output, and "x" to represent the input. Then "the output is one-fifth of the input" is written as the equation ...

  y = 1/5x

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation: