A(5x+10)=15x+30

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Solution for A(5x+10)=15x+30 equation: 


Simplifying
A(5x + 10) = 15x + 30

Reorder the terms:
A(10 + 5x) = 15x + 30
(10 * A + 5x * A) = 15x + 30
(10A + 5xA) = 15x + 30

Reorder the terms:
10A + 5xA = 30 + 15x

Solving
10A + 5xA = 30 + 15x

Solving for variable 'A'.

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

Reorder the terms:
-30 + 10A + -15x + 5xA = 30 + 15x + -30 + -15x

Reorder the terms:
-30 + 10A + -15x + 5xA = 30 + -30 + 15x + -15x

Combine like terms: 30 + -30 = 0
-30 + 10A + -15x + 5xA = 0 + 15x + -15x
-30 + 10A + -15x + 5xA = 15x + -15x

Combine like terms: 15x + -15x = 0
-30 + 10A + -15x + 5xA = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-6 + 2A + -3x + xA) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-6 + 2A + -3x + xA)' equal to zero and attempt to solve:

Simplifying
-6 + 2A + -3x + xA = 0

Solving
-6 + 2A + -3x + xA = 0

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

Add '6' to each side of the equation.
-6 + 2A + -3x + 6 + xA = 0 + 6

Reorder the terms:
-6 + 6 + 2A + -3x + xA = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 2A + -3x + xA = 0 + 6
2A + -3x + xA = 0 + 6

Combine like terms: 0 + 6 = 6
2A + -3x + xA = 6

Add '3x' to each side of the equation.
2A + -3x + 3x + xA = 6 + 3x

Combine like terms: -3x + 3x = 0
2A + 0 + xA = 6 + 3x
2A + xA = 6 + 3x

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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