9+3(x-1)=3-6(x-9)

Solution for 9+3(x-1)=3-6(x-9) equation:

Simplifying
9 + 3(x + -1) = 3 + -6(x + -9)

Reorder the terms:
9 + 3(-1 + x) = 3 + -6(x + -9)
9 + (-1 * 3 + x * 3) = 3 + -6(x + -9)
9 + (-3 + 3x) = 3 + -6(x + -9)

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

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

Combine like terms: 3 + 54 = 57
6 + 3x = 57 + -6x

Solving
6 + 3x = 57 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
6 + 3x + 6x = 57 + -6x + 6x

Combine like terms: 3x + 6x = 9x
6 + 9x = 57 + -6x + 6x

Combine like terms: -6x + 6x = 0
6 + 9x = 57 + 0
6 + 9x = 57

Add '-6' to each side of the equation.
6 + -6 + 9x = 57 + -6

Combine like terms: 6 + -6 = 0
0 + 9x = 57 + -6
9x = 57 + -6

Combine like terms: 57 + -6 = 51
9x = 51

Divide each side by '9'.
x = 5.666666667

Simplifying
x = 5.666666667