Consider the equation 5x + 7 = 2x + 28. Your tasks to explain the steps you would take, in order, to solve the equation for x. Imagine that you are writing this for someone who is learning
about this process for the first time. You would be as specific as possible and write in complete
sentences.

x=7

Step-by-step explanation:

Step 1: Put the variables and constants on the same side and change their signs so it'll look like this 5x-2x = 28 - 7, you always move the smaller number to either the left or right depending on its position in the problem.

Step 2: solve each side normally like this, 3x = 21

Step 3: to get x by itself divide 3 on both sides and you should get x=7

Here's a run through of the steps

5x+7=2x+28

   -7       -7(subtract 7 from both sides

5x=2x+28-7

-2x   -2x(subtract 2x from both sides)

5x-2x=28-7

3x=21

3x/3 = 21/3 (divide 3 from both sides)

x=7

infinitely many solutions

step-by-step explanation:

we have been given the equation;

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

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

the answer is b.)

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