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4 votes
What is the value of x in this equation?
2x + 6
5
= −1(x - 11)

1 Answer

4 votes

Answer:

To solve the equation 2x + 6/5 = -1(x - 11), we can use the distributive property of multiplication over addition/subtraction to simplify the right-hand side of the equation:

2x + 6/5 = -x + 11

Next, we can rearrange the terms so that all the x terms are on one side of he equation and all the constant terms are on the other side:

2x + x = 11 - 6/5

Combining like terms and simplifying the right-hand side, we get:

3x = 49/5

Dividing both sides by 3, we get:

x = 49/15

Therefore, the value of x in the equation 2x + 6/5 = -1(x - 11) is 49/15.

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