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

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


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

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

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

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

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

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

Solving for variable 'A'.

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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