A(x+2)+B(x-1)=6x+3

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Solution for A(x+2)+B(x-1)=6x+3 equation: 


Simplifying
A(x + 2) + B(x + -1) = 6x + 3

Reorder the terms:
A(2 + x) + B(x + -1) = 6x + 3
(2 * A + x * A) + B(x + -1) = 6x + 3
(2A + xA) + B(x + -1) = 6x + 3

Reorder the terms:
2A + xA + B(-1 + x) = 6x + 3
2A + xA + (-1 * B + x * B) = 6x + 3
2A + xA + (-1B + xB) = 6x + 3

Reorder the terms:
2A + -1B + xA + xB = 6x + 3

Reorder the terms:
2A + -1B + xA + xB = 3 + 6x

Solving
2A + -1B + xA + xB = 3 + 6x

Solving for variable 'A'.

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

Add 'B' to each side of the equation.
2A + -1B + xA + B + xB = 3 + B + 6x

Reorder the terms:
2A + -1B + B + xA + xB = 3 + B + 6x

Combine like terms: -1B + B = 0
2A + 0 + xA + xB = 3 + B + 6x
2A + xA + xB = 3 + B + 6x

Add '-1xB' to each side of the equation.
2A + xA + xB + -1xB = 3 + B + 6x + -1xB

Combine like terms: xB + -1xB = 0
2A + xA + 0 = 3 + B + 6x + -1xB
2A + xA = 3 + B + 6x + -1xB

Reorder the terms:
-3 + 2A + -1B + -6x + xA + xB = 3 + B + 6x + -1xB + -3 + -1B + -6x + xB

Reorder the terms:
-3 + 2A + -1B + -6x + xA + xB = 3 + -3 + B + -1B + 6x + -6x + -1xB + xB

Combine like terms: 3 + -3 = 0
-3 + 2A + -1B + -6x + xA + xB = 0 + B + -1B + 6x + -6x + -1xB + xB
-3 + 2A + -1B + -6x + xA + xB = B + -1B + 6x + -6x + -1xB + xB

Combine like terms: B + -1B = 0
-3 + 2A + -1B + -6x + xA + xB = 0 + 6x + -6x + -1xB + xB
-3 + 2A + -1B + -6x + xA + xB = 6x + -6x + -1xB + xB

Combine like terms: 6x + -6x = 0
-3 + 2A + -1B + -6x + xA + xB = 0 + -1xB + xB
-3 + 2A + -1B + -6x + xA + xB = -1xB + xB

Combine like terms: -1xB + xB = 0
-3 + 2A + -1B + -6x + xA + xB = 0

The solution to this equation could not be determined.

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