A(4-x)+3x=B(9+2x)

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Solution for A(4-x)+3x=B(9+2x) equation: 


Simplifying
A(4 + -1x) + 3x = B(9 + 2x)
(4 * A + -1x * A) + 3x = B(9 + 2x)
(4A + -1xA) + 3x = B(9 + 2x)

Reorder the terms:
4A + 3x + -1xA = B(9 + 2x)
4A + 3x + -1xA = (9 * B + 2x * B)
4A + 3x + -1xA = (9B + 2xB)

Solving
4A + 3x + -1xA = 9B + 2xB

Solving for variable 'A'.

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

Add '-3x' to each side of the equation.
4A + 3x + -3x + -1xA = 9B + -3x + 2xB

Combine like terms: 3x + -3x = 0
4A + 0 + -1xA = 9B + -3x + 2xB
4A + -1xA = 9B + -3x + 2xB

Reorder the terms:
4A + -9B + 3x + -1xA + -2xB = 9B + -3x + 2xB + -9B + 3x + -2xB

Reorder the terms:
4A + -9B + 3x + -1xA + -2xB = 9B + -9B + -3x + 3x + 2xB + -2xB

Combine like terms: 9B + -9B = 0
4A + -9B + 3x + -1xA + -2xB = 0 + -3x + 3x + 2xB + -2xB
4A + -9B + 3x + -1xA + -2xB = -3x + 3x + 2xB + -2xB

Combine like terms: -3x + 3x = 0
4A + -9B + 3x + -1xA + -2xB = 0 + 2xB + -2xB
4A + -9B + 3x + -1xA + -2xB = 2xB + -2xB

Combine like terms: 2xB + -2xB = 0
4A + -9B + 3x + -1xA + -2xB = 0

The solution to this equation could not be determined.

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