9(x-1)=3(x+2)

Solution for 9(x-1)=3(x+2) equation:

Simplifying
9(x + -1) = 3(x + 2)

Reorder the terms:
9(-1 + x) = 3(x + 2)
(-1 * 9 + x * 9) = 3(x + 2)
(-9 + 9x) = 3(x + 2)

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

Solving
-9 + 9x = 6 + 3x

Solving for variable 'x'.

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

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

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

Combine like terms: 3x + -3x = 0
-9 + 6x = 6 + 0
-9 + 6x = 6

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

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

Combine like terms: 6 + 9 = 15
6x = 15

Divide each side by '6'.
x = 2.5

Simplifying
x = 2.5