3 (3-3x) = 2 (x+3) - 30 solve and check solution

x = 3

Step-by-step explanation:

Solve:

3 (3 - 3x) = 2 (x + 3) - 30 Remove parentheses

9 - 9x = 2x + 6 - 30 Combine like terms

9 - 9x = 2x - 24 Add 24 to each side

33 - 9x = 2x Add 9x to each side

33 = 11x Divide each side by 11

x = 3

Check:

3 (3 - 3x) = 2 (x + 3) - 30

3 (3 - 3*3) = 2 (3 + 3) - 30

3 (3 - 9) = 2*6 - 30

3 (-6) = 12 - 30

-18 = - 18

x = 3

Step-by-step explanation:

Solve for x:

3 (3 - 3 x) = 2 (x + 3) - 30

2 (x + 3) = 2 x + 6:

3 (3 - 3 x) = 2 x + 6 - 30

Grouping like terms, 2 x - 30 + 6 = 2 x + (6 - 30):

3 (3 - 3 x) = 2 x + (6 - 30)

6 - 30 = - 24:

3 (3 - 3 x) = 2 x + - 24

Expand out terms of the left hand side:

9 - 9 x = 2 x - 24

Subtract 2 x from both sides:

9 + (-9 x - 2 x) = (2 x - 2 x) - 24

-9 x - 2 x = - 11 x:

-11 x + 9 = (2 x - 2 x) - 24

2 x - 2 x = 0:

9 - 11 x = - 24

Subtract 9 from both sides:

(9 - 9) - 11 x = - 9 - 24

9 - 9 = 0:

-11 x = - 9 - 24

-9 - 24 = - 33:

-11 x = - 33

Divide both sides of - 11 x = - 33 by - 11:

(-11 x) / (-11) = (-33) / (-11)

(-11) / (-11) = 1:

x = (-33) / (-11)

The gcd of - 33 and - 11 is - 11, so (-33) / (-11) = (-11*3) / (-11*1) = (-11) / (-11) * 3 = 3:

Answer: x = 3