Solving Linear Equations Unit Test

Question

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Question
Solve the following linear equation for x. Then check your answer. Show all your steps for solving and checking.

5x+8+x=32

(4 points)

Answer 1

To solve the equation 5x + 8 + x = 32, we will combine like terms and isolate the variable x.

First, combine the terms with x:

5x + x = 6x

The equation now becomes:

6x + 8 = 32

Next, we will isolate the variable x by subtracting 8 from both sides of the equation:

6x + 8 - 8 = 32 - 8

This simplifies to:

6x = 24

To solve for x, we will divide both sides of the equation by 6:

(6x)/6 = 24/6

This simplifies to:

x = 4

To check if our answer is correct, we substitute the value of x back into the original equation:

5x + 8 + x = 32

Substituting x = 4:

5(4) + 8 + 4 = 32

20 + 8 + 4 = 32

32 = 32

Since both sides of the equation are equal, our solution x = 4 is correct.