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3(x-2)=5x+8 solve for x

1 Answer

4 votes

Answer:

The answer to the equation asking for the value of x is x = -7.

Explanation:

What is distribution?

Distribution is when we are multiplying, dividing, adding, etc one or more numbers to other numbers in an equation.

3 (x - 2) = 5x + 8

First, we must deal with the values inside the parentheses. Since we can't do any operation, we move on to multiplying the three by each number in the parentheses.

3 * x = 3x

3 * -2 = -6

3x - 6 = 5x + 8

Now, we can start to combine like terms.

3x - 6 + 6 = 5x + 8 + 6

3x = 5x + 14

We need to get both 3x and 5x together, but they have to be isolated from 14. So, we subtract 5x from both sides.

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

-2x = 14

The last step is to divide.

-2x/-2 = 14/-2

x = -7

User Mayank Mahajan
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