6(x-3)-9(x-1)=5-(x+3)

Solution for 6(x-3)-9(x-1)=5-(x+3) equation:

Simplifying
6(x + -3) + -9(x + -1) = 5 + -1(x + 3)

Reorder the terms:
6(-3 + x) + -9(x + -1) = 5 + -1(x + 3)
(-3 * 6 + x * 6) + -9(x + -1) = 5 + -1(x + 3)
(-18 + 6x) + -9(x + -1) = 5 + -1(x + 3)

Reorder the terms:
-18 + 6x + -9(-1 + x) = 5 + -1(x + 3)
-18 + 6x + (-1 * -9 + x * -9) = 5 + -1(x + 3)
-18 + 6x + (9 + -9x) = 5 + -1(x + 3)

Reorder the terms:
-18 + 9 + 6x + -9x = 5 + -1(x + 3)

Combine like terms: -18 + 9 = -9
-9 + 6x + -9x = 5 + -1(x + 3)

Combine like terms: 6x + -9x = -3x
-9 + -3x = 5 + -1(x + 3)

Reorder the terms:
-9 + -3x = 5 + -1(3 + x)
-9 + -3x = 5 + (3 * -1 + x * -1)
-9 + -3x = 5 + (-3 + -1x)

Combine like terms: 5 + -3 = 2
-9 + -3x = 2 + -1x

Solving
-9 + -3x = 2 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-9 + -3x + x = 2 + -1x + x

Combine like terms: -3x + x = -2x
-9 + -2x = 2 + -1x + x

Combine like terms: -1x + x = 0
-9 + -2x = 2 + 0
-9 + -2x = 2

Add '9' to each side of the equation.
-9 + 9 + -2x = 2 + 9

Combine like terms: -9 + 9 = 0
0 + -2x = 2 + 9
-2x = 2 + 9

Combine like terms: 2 + 9 = 11
-2x = 11

Divide each side by '-2'.
x = -5.5

Simplifying
x = -5.5