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8x + 4 = 27 + 6x - 15

1 Answer

6 votes

Answer:

x = 4

Explanation:

Knowledge Needed

If you add, subtract, multiply, or divide the same number/variable on both sides of the equation, the end result will be the same.

To solve for a variable, we must first isolate it, meaning it is on its own side of the equation separate from integers and other constants.

The Question

8x + 4 = 27 + 6x - 15

Subtract 4 on both sides.

8x + 4 - 4 = 27 + 6x - 15 - 4

Combine like terms.

8x = 8 + 6x

Subtract 6x on both sides.

8x - 6x = 8 + 6x - 6x

Combine like terms.

2x = 8

Divide 2 on both sides.


(2x)/(2) = (8)/(2)

Simplify.

x = 4

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