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Answer:

x = 4

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write equation

4(x + 2) = x - 4

Step 2: Distribute

4x + 8 = x - 4

Step 3: Subtract 8 on both sides

4x + 8 - 8 = x - 4 - 8

4x = x - 12

Step 4: Subtract x on both sides

4x - x = x - x - 12

3x = 12

Step 5: Divide both sides by 3

3x/3 = 12/3

x = 4

Final Answer:

x = -4

Step-by-step explanation:

step 1 Simplify both sides of the equation:

4(x + 2) = x - 4

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

4x + 8 = x + (-4)

step 2 Subtract x from both sides:

4x + 8 - x = x - 4 - x

3x + 8 = -4

step 3 Subtract 8 from both sides:

3x + 8 - 8 = -4 - 8

3x = -12

last step Divide both sides by 3:

3x      -12

___ = ___

 3         3

x = -12/3

x = -4

:)