4x+20=lx+5x+20-2x

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Solution for 4x+20=lx+5x+20-2x equation: 


Simplifying
4x + 20 = lx + 5x + 20 + -2x

Reorder the terms:
20 + 4x = lx + 5x + 20 + -2x

Reorder the terms:
20 + 4x = 20 + lx + 5x + -2x

Combine like terms: 5x + -2x = 3x
20 + 4x = 20 + lx + 3x

Add '-20' to each side of the equation.
20 + -20 + 4x = 20 + lx + -20 + 3x

Combine like terms: 20 + -20 = 0
0 + 4x = 20 + lx + -20 + 3x
4x = 20 + lx + -20 + 3x

Reorder the terms:
4x = 20 + -20 + lx + 3x

Combine like terms: 20 + -20 = 0
4x = 0 + lx + 3x
4x = lx + 3x

Solving
4x = lx + 3x

Solving for variable 'x'.

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

Add '-1lx' to each side of the equation.
-1lx + 4x = lx + -1lx + 3x

Combine like terms: lx + -1lx = 0
-1lx + 4x = 0 + 3x
-1lx + 4x = 3x

Add '-3x' to each side of the equation.
-1lx + 4x + -3x = 3x + -3x

Combine like terms: 4x + -3x = 1x
-1lx + 1x = 3x + -3x

Combine like terms: 3x + -3x = 0
-1lx + 1x = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1l + 1) = 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 '(-1l + 1)' equal to zero and attempt to solve:

Simplifying
-1l + 1 = 0

Reorder the terms:
1 + -1l = 0

Solving
1 + -1l = 0

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

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

Combine like terms: 1 + -1 = 0
0 + -1l = 0 + -1
-1l = 0 + -1

Combine like terms: 0 + -1 = -1
-1l = -1

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

Combine like terms: -1l + l = 0
0 = -1 + l

Simplifying
0 = -1 + l

The solution to this equation could not be determined.

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

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