3(x+2)=9(x-7)

Solution for 3(x+2)=9(x-7) equation:

Simplifying
3(x + 2) = 9(x + -7)

Reorder the terms:
3(2 + x) = 9(x + -7)
(2 * 3 + x * 3) = 9(x + -7)
(6 + 3x) = 9(x + -7)

Reorder the terms:
6 + 3x = 9(-7 + x)
6 + 3x = (-7 * 9 + x * 9)
6 + 3x = (-63 + 9x)

Solving
6 + 3x = -63 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
6 + 3x + -9x = -63 + 9x + -9x

Combine like terms: 3x + -9x = -6x
6 + -6x = -63 + 9x + -9x

Combine like terms: 9x + -9x = 0
6 + -6x = -63 + 0
6 + -6x = -63

Add '-6' to each side of the equation.
6 + -6 + -6x = -63 + -6

Combine like terms: 6 + -6 = 0
0 + -6x = -63 + -6
-6x = -63 + -6

Combine like terms: -63 + -6 = -69
-6x = -69

Divide each side by '-6'.
x = 11.5

Simplifying
x = 11.5