3(x+2)=9(6x+7)

Solution for 3(x+2)=9(6x+7) equation:

Simplifying
3(x + 2) = 9(6x + 7)

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

Reorder the terms:
6 + 3x = 9(7 + 6x)
6 + 3x = (7 * 9 + 6x * 9)
6 + 3x = (63 + 54x)

Solving
6 + 3x = 63 + 54x

Solving for variable 'x'.

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

Add '-54x' to each side of the equation.
6 + 3x + -54x = 63 + 54x + -54x

Combine like terms: 3x + -54x = -51x
6 + -51x = 63 + 54x + -54x

Combine like terms: 54x + -54x = 0
6 + -51x = 63 + 0
6 + -51x = 63

Add '-6' to each side of the equation.
6 + -6 + -51x = 63 + -6

Combine like terms: 6 + -6 = 0
0 + -51x = 63 + -6
-51x = 63 + -6

Combine like terms: 63 + -6 = 57
-51x = 57

Divide each side by '-51'.
x = -1.117647059

Simplifying
x = -1.117647059