8x(9-2X)=5x(2-3X)

Solution for 8x(9-2X)=5x(2-3X) equation:

Simplifying
8x(9 + -2X) = 5x(2 + -3X)
(9 * 8x + -2X * 8x) = 5x(2 + -3X)
(72x + -16xX) = 5x(2 + -3X)
72x + -16xX = (2 * 5x + -3X * 5x)
72x + -16xX = (10x + -15xX)

Solving
72x + -16xX = 10x + -15xX

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
72x + -10x + -16xX = 10x + -10x + -15xX

Combine like terms: 72x + -10x = 62x
62x + -16xX = 10x + -10x + -15xX

Combine like terms: 10x + -10x = 0
62x + -16xX = 0 + -15xX
62x + -16xX = -15xX

Add '15xX' to each side of the equation.
62x + -16xX + 15xX = -15xX + 15xX

Combine like terms: -16xX + 15xX = -1xX
62x + -1xX = -15xX + 15xX

Combine like terms: -15xX + 15xX = 0
62x + -1xX = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(62 + -1X) = 0

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 '(62 + -1X)' equal to zero and attempt to solve:

Simplifying
62 + -1X = 0

Solving
62 + -1X = 0

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

Add '-62' to each side of the equation.
62 + -62 + -1X = 0 + -62

Combine like terms: 62 + -62 = 0
0 + -1X = 0 + -62
-1X = 0 + -62

Combine like terms: 0 + -62 = -62
-1X = -62

Add 'X' to each side of the equation.
-1X + X = -62 + X

Combine like terms: -1X + X = 0
0 = -62 + X

Simplifying
0 = -62 + X

The solution to this equation could not be determined.

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