6+3(x-9)=4-9(x-3)

Solution for 6+3(x-9)=4-9(x-3) equation:

Simplifying
6 + 3(x + -9) = 4 + -9(x + -3)

Reorder the terms:
6 + 3(-9 + x) = 4 + -9(x + -3)
6 + (-9 * 3 + x * 3) = 4 + -9(x + -3)
6 + (-27 + 3x) = 4 + -9(x + -3)

Combine like terms: 6 + -27 = -21
-21 + 3x = 4 + -9(x + -3)

Reorder the terms:
-21 + 3x = 4 + -9(-3 + x)
-21 + 3x = 4 + (-3 * -9 + x * -9)
-21 + 3x = 4 + (27 + -9x)

Combine like terms: 4 + 27 = 31
-21 + 3x = 31 + -9x

Solving
-21 + 3x = 31 + -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.
-21 + 3x + 9x = 31 + -9x + 9x

Combine like terms: 3x + 9x = 12x
-21 + 12x = 31 + -9x + 9x

Combine like terms: -9x + 9x = 0
-21 + 12x = 31 + 0
-21 + 12x = 31

Add '21' to each side of the equation.
-21 + 21 + 12x = 31 + 21

Combine like terms: -21 + 21 = 0
0 + 12x = 31 + 21
12x = 31 + 21

Combine like terms: 31 + 21 = 52
12x = 52

Divide each side by '12'.
x = 4.333333333

Simplifying
x = 4.333333333