5(3x+40)=3x+4(mx+50)

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Solution for 5(3x+40)=3x+4(mx+50) equation: 


Simplifying
5(3x + 40) = 3x + 4(mx + 50)

Reorder the terms:
5(40 + 3x) = 3x + 4(mx + 50)
(40 * 5 + 3x * 5) = 3x + 4(mx + 50)
(200 + 15x) = 3x + 4(mx + 50)

Reorder the terms:
200 + 15x = 3x + 4(50 + mx)
200 + 15x = 3x + (50 * 4 + mx * 4)
200 + 15x = 3x + (200 + 4mx)

Reorder the terms:
200 + 15x = 200 + 4mx + 3x

Add '-200' to each side of the equation.
200 + -200 + 15x = 200 + 4mx + -200 + 3x

Combine like terms: 200 + -200 = 0
0 + 15x = 200 + 4mx + -200 + 3x
15x = 200 + 4mx + -200 + 3x

Reorder the terms:
15x = 200 + -200 + 4mx + 3x

Combine like terms: 200 + -200 = 0
15x = 0 + 4mx + 3x
15x = 4mx + 3x

Solving
15x = 4mx + 3x

Solving for variable 'x'.

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

Add '-4mx' to each side of the equation.
-4mx + 15x = 4mx + -4mx + 3x

Combine like terms: 4mx + -4mx = 0
-4mx + 15x = 0 + 3x
-4mx + 15x = 3x

Add '-3x' to each side of the equation.
-4mx + 15x + -3x = 3x + -3x

Combine like terms: 15x + -3x = 12x
-4mx + 12x = 3x + -3x

Combine like terms: 3x + -3x = 0
-4mx + 12x = 0

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-1m + 3) = 0

Ignore the factor 4.

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 '(-1m + 3)' equal to zero and attempt to solve:

Simplifying
-1m + 3 = 0

Reorder the terms:
3 + -1m = 0

Solving
3 + -1m = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1m = 0 + -3
-1m = 0 + -3

Combine like terms: 0 + -3 = -3
-1m = -3

Add 'm' to each side of the equation.
-1m + m = -3 + m

Combine like terms: -1m + m = 0
0 = -3 + m

Simplifying
0 = -3 + m

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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