-1(x-27)+3(x+3)=9(x-3)

Solution for -1(x-27)+3(x+3)=9(x-3) equation:

Simplifying
-1(x + -27) + 3(x + 3) = 9(x + -3)

Reorder the terms:
-1(-27 + x) + 3(x + 3) = 9(x + -3)
(-27 * -1 + x * -1) + 3(x + 3) = 9(x + -3)
(27 + -1x) + 3(x + 3) = 9(x + -3)

Reorder the terms:
27 + -1x + 3(3 + x) = 9(x + -3)
27 + -1x + (3 * 3 + x * 3) = 9(x + -3)
27 + -1x + (9 + 3x) = 9(x + -3)

Reorder the terms:
27 + 9 + -1x + 3x = 9(x + -3)

Combine like terms: 27 + 9 = 36
36 + -1x + 3x = 9(x + -3)

Combine like terms: -1x + 3x = 2x
36 + 2x = 9(x + -3)

Reorder the terms:
36 + 2x = 9(-3 + x)
36 + 2x = (-3 * 9 + x * 9)
36 + 2x = (-27 + 9x)

Solving
36 + 2x = -27 + 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.
36 + 2x + -9x = -27 + 9x + -9x

Combine like terms: 2x + -9x = -7x
36 + -7x = -27 + 9x + -9x

Combine like terms: 9x + -9x = 0
36 + -7x = -27 + 0
36 + -7x = -27

Add '-36' to each side of the equation.
36 + -36 + -7x = -27 + -36

Combine like terms: 36 + -36 = 0
0 + -7x = -27 + -36
-7x = -27 + -36

Combine like terms: -27 + -36 = -63
-7x = -63

Divide each side by '-7'.
x = 9

Simplifying
x = 9