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

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

Simplifying
-6(4x + 3) = 6(-1rx + -3)

Reorder the terms:
-6(3 + 4x) = 6(-1rx + -3)
(3 * -6 + 4x * -6) = 6(-1rx + -3)
(-18 + -24x) = 6(-1rx + -3)

Reorder the terms:
-18 + -24x = 6(-3 + -1rx)
-18 + -24x = (-3 * 6 + -1rx * 6)
-18 + -24x = (-18 + -6rx)

Add '18' to each side of the equation.
-18 + 18 + -24x = -18 + 18 + -6rx

Combine like terms: -18 + 18 = 0
0 + -24x = -18 + 18 + -6rx
-24x = -18 + 18 + -6rx

Combine like terms: -18 + 18 = 0
-24x = 0 + -6rx
-24x = -6rx

Solving
-24x = -6rx

Solving for variable 'x'.

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

Add '6rx' to each side of the equation.
6rx + -24x = -6rx + 6rx

Combine like terms: -6rx + 6rx = 0
6rx + -24x = 0

Factor out the Greatest Common Factor (GCF), '6x'.
6x(r + -4) = 0

Ignore the factor 6.
Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(r + -4)' equal to zero and attempt to solve:

Simplifying
r + -4 = 0

Reorder the terms:
-4 + r = 0

Solving
-4 + r = 0

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

Add '4' to each side of the equation.
-4 + 4 + r = 0 + 4

Combine like terms: -4 + 4 = 0
0 + r = 0 + 4
r = 0 + 4

Combine like terms: 0 + 4 = 4
r = 4

Add '-1r' to each side of the equation.
r + -1r = 4 + -1r

Combine like terms: r + -1r = 0
0 = 4 + -1r

Simplifying
0 = 4 + -1r

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}