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.