Question

what is the solution for3x<x-6<2x+9​

Answer 1

Answer:

Solution for 3x+6=-2x-9 equation:

Simplifying

3x + 6 = -2x + -9

Reorder the terms:

6 + 3x = -2x + -9

Reorder the terms:

6 + 3x = -9 + -2x

Solving

6 + 3x = -9 + -2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x' to each side of the equation.

6 + 3x + 2x = -9 + -2x + 2x

Combine like terms: 3x + 2x = 5x

6 + 5x = -9 + -2x + 2x

Combine like terms: -2x + 2x = 0

6 + 5x = -9 + 0

6 + 5x = -9

Add '-6' to each side of the equation.

6 + -6 + 5x = -9 + -6

Combine like terms: 6 + -6 = 0

0 + 5x = -9 + -6

5x = -9 + -6

Combine like terms: -9 + -6 = -15

5x = -15

Divide each side by '5'.

x = -3

Simplifying

x = -3