Which value of x makes the equation

3 (x - 6) = 8x - 3 (3x + 7) true?

Just solve for "x"

3 (x - 6) = 8x - 3 (3x + 7)

3x - 18 = 8x - 9x - 21

4x = - 3

x = - 3 / 4

x = (-3) / 4

Step-by-step explanation:

Solve for x:

3 (x - 6) = 8 x - 3 (3 x + 7)

-3 (3 x + 7) = - 9 x - 21:

3 (x - 6) = 8 x + - 9 x - 21

Grouping like terms, 8 x - 9 x - 21 = (8 x - 9 x) - 21:

3 (x - 6) = (8 x - 9 x) - 21

8 x - 9 x = - x:

3 (x - 6) = - x - 21

Expand out terms of the left hand side:

3 x - 18 = - x - 21

Add x to both sides:

3 x + x - 18 = (x - x) - 21

x - x = 0:

3 x + x - 18 = - 21

3 x + x = 4 x:

4 x - 18 = - 21

Add 18 to both sides:

4 x + (18 - 18) = 18 - 21

18 - 18 = 0:

4 x = 18 - 21

18 - 21 = - 3:

4 x = - 3

Divide both sides of 4 x = - 3 by 4:

(4 x) / 4 = (-3) / 4

4/4 = 1:

Answer: x = (-3) / 4