10x(X+3)=4(X+15)

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Solution for 10x(X+3)=4(X+15) equation: 


Simplifying
10x(X + 3) = 4(X + 15)

Reorder the terms:
10x(3 + X) = 4(X + 15)
(3 * 10x + X * 10x) = 4(X + 15)
(30x + 10xX) = 4(X + 15)

Reorder the terms:
30x + 10xX = 4(15 + X)
30x + 10xX = (15 * 4 + X * 4)
30x + 10xX = (60 + 4X)

Solving
30x + 10xX = 60 + 4X

Solving for variable 'x'.

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

Reorder the terms:
-60 + -4X + 30x + 10xX = 60 + 4X + -60 + -4X

Reorder the terms:
-60 + -4X + 30x + 10xX = 60 + -60 + 4X + -4X

Combine like terms: 60 + -60 = 0
-60 + -4X + 30x + 10xX = 0 + 4X + -4X
-60 + -4X + 30x + 10xX = 4X + -4X

Combine like terms: 4X + -4X = 0
-60 + -4X + 30x + 10xX = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-30 + -2X + 15x + 5xX) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-30 + -2X + 15x + 5xX)' equal to zero and attempt to solve:

Simplifying
-30 + -2X + 15x + 5xX = 0

Solving
-30 + -2X + 15x + 5xX = 0

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

Add '30' to each side of the equation.
-30 + -2X + 15x + 30 + 5xX = 0 + 30

Reorder the terms:
-30 + 30 + -2X + 15x + 5xX = 0 + 30

Combine like terms: -30 + 30 = 0
0 + -2X + 15x + 5xX = 0 + 30
-2X + 15x + 5xX = 0 + 30

Combine like terms: 0 + 30 = 30
-2X + 15x + 5xX = 30

Add '2X' to each side of the equation.
-2X + 15x + 2X + 5xX = 30 + 2X

Reorder the terms:
-2X + 2X + 15x + 5xX = 30 + 2X

Combine like terms: -2X + 2X = 0
0 + 15x + 5xX = 30 + 2X
15x + 5xX = 30 + 2X

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.

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