Question

How do you solve `7( 3x + 7) \leq 7+ 6( 6x - 3)`?

Answer 1

Distribute, combine like terms, and solve for x

Explanation:

`7(3x + 7)\le7 + 6(6x -3)`

Distribute the 7 through the first set of parenthesis, and the 6 through the second set of parenthesis

`21x +49\le7 +36x - 18`

Combine like terms on the right side of the equation

`21x + 49\le36x -11`

Subtract 49 from both sides of the equation

`21x\le 36x - 60`

Subract 36x from both sides of the equation

`-15x\le -60`

Divide both sides of the equation by -15, and flip the inequality symbol because you're dividing by a negative

`x\ge 4`