Solve the inequality for x.

-3x + 6 > 48

x < - 14

Step-by-step explanation:

To solve the inequality, we have to get x by itself. Perform the opposite of what is being done to the inequality. Keep in mind, everything done to one side, has to be done to the other.

-3x + 6 > 48

6 is being added onto - 3x. The opposite of addition is subtraction. Subtract 6 from both sides.

-3x + 6 - 6> 48-6

-3x > 48-6

-3x > 42

x is being multiplied by - 3. The opposite of multiplication is division. Divide both sides by - 3.

-3x/-3> 42/-3

x > 42/-3

Since we divided by a negative, we have to flip the inequality sign.

x> 42/-3-->x<42/-3

x<42/-3

x < - 14