Heidi solved the equation 3(x + 4) + 2 = 2 + 5(x – 4). Her steps are below: 3x + 12 + 2 = 2 + 5x – 20 3x + 14 = 5x – 18 14 = 2x – 18 32 = 2x 16 = x Use the drops-downs to justify how Heidi arrived at each step. Step 1: distributive property Step 2: Step 3: Step 4: Step 5:

See explanation

Step-by-step explanation:

3(x + 4) + 2 = 2 + 5(x – 4)

Step 1: distributive property

3(x + 4) + 2 = 2 + 5(x – 4)

3x + 12 + 2 = 2 + 5x - 20

Step 2: collect like terms

3x + 12 + 2 = 2 + 5x - 20

3x + 14 = 5x - 18

Step 3: Addition property of equality

3x + 14 = 5x - 18

3x + 14 + 18 = 5x - 18 + 18

3x + 32 = 5x

Step 4: subtraction property of equality

3x + 32 - 3x = 5x - 3x

32 = 2x

Step 5: division property of equality

32 = 2x

32/2 = 2x/2

16 = x

x = 16

choice b is correct

step-by-step explanation:

we have been given the following system of inequalities;

we are required to graph the solution to the system of inequalities. using a graphing tool, the graph of the system is as shown in the attachment. the continuous line represents the graph of while the dotted line represents .

c 1 hour

step-by-step explanation:

m = 2e

m = 2 so 2 = 2e

1 = e