6(x-3)=54-2sx

Solution for 6(x-3)=54-2sx equation:

Simplifying
6(x + -3) = 54 + -2sx

Reorder the terms:
6(-3 + x) = 54 + -2sx
(-3 * 6 + x * 6) = 54 + -2sx
(-18 + 6x) = 54 + -2sx

Solving
-18 + 6x = 54 + -2sx

Solving for variable 'x'.

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

Add '2sx' to each side of the equation.
-18 + 2sx + 6x = 54 + -2sx + 2sx

Combine like terms: -2sx + 2sx = 0
-18 + 2sx + 6x = 54 + 0
-18 + 2sx + 6x = 54

Add '18' to each side of the equation.
-18 + 2sx + 18 + 6x = 54 + 18

Reorder the terms:
-18 + 18 + 2sx + 6x = 54 + 18

Combine like terms: -18 + 18 = 0
0 + 2sx + 6x = 54 + 18
2sx + 6x = 54 + 18

Combine like terms: 54 + 18 = 72
2sx + 6x = 72

Reorder the terms:
-72 + 2sx + 6x = 72 + -72

Combine like terms: 72 + -72 = 0
-72 + 2sx + 6x = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-36 + sx + 3x) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-36 + sx + 3x)' equal to zero and attempt to solve:

Simplifying
-36 + sx + 3x = 0

Solving
-36 + sx + 3x = 0

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

Add '36' to each side of the equation.
-36 + sx + 36 + 3x = 0 + 36

Reorder the terms:
-36 + 36 + sx + 3x = 0 + 36

Combine like terms: -36 + 36 = 0
0 + sx + 3x = 0 + 36
sx + 3x = 0 + 36

Combine like terms: 0 + 36 = 36
sx + 3x = 36

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.