A(x+1)+B(x-2)=7x+13

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Solution for A(x+1)+B(x-2)=7x+13 equation: 


Simplifying
A(x + 1) + B(x + -2) = 7x + 13

Reorder the terms:
A(1 + x) + B(x + -2) = 7x + 13
(1 * A + x * A) + B(x + -2) = 7x + 13
(1A + xA) + B(x + -2) = 7x + 13

Reorder the terms:
1A + xA + B(-2 + x) = 7x + 13
1A + xA + (-2 * B + x * B) = 7x + 13
1A + xA + (-2B + xB) = 7x + 13

Reorder the terms:
1A + -2B + xA + xB = 7x + 13

Reorder the terms:
1A + -2B + xA + xB = 13 + 7x

Solving
1A + -2B + xA + xB = 13 + 7x

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.
1A + -2B + xA + 2B + xB = 13 + 2B + 7x

Reorder the terms:
1A + -2B + 2B + xA + xB = 13 + 2B + 7x

Combine like terms: -2B + 2B = 0
1A + 0 + xA + xB = 13 + 2B + 7x
1A + xA + xB = 13 + 2B + 7x

Add '-1xB' to each side of the equation.
1A + xA + xB + -1xB = 13 + 2B + 7x + -1xB

Combine like terms: xB + -1xB = 0
1A + xA + 0 = 13 + 2B + 7x + -1xB
1A + xA = 13 + 2B + 7x + -1xB

Reorder the terms:
-13 + 1A + -2B + -7x + xA + xB = 13 + 2B + 7x + -1xB + -13 + -2B + -7x + xB

Reorder the terms:
-13 + 1A + -2B + -7x + xA + xB = 13 + -13 + 2B + -2B + 7x + -7x + -1xB + xB

Combine like terms: 13 + -13 = 0
-13 + 1A + -2B + -7x + xA + xB = 0 + 2B + -2B + 7x + -7x + -1xB + xB
-13 + 1A + -2B + -7x + xA + xB = 2B + -2B + 7x + -7x + -1xB + xB

Combine like terms: 2B + -2B = 0
-13 + 1A + -2B + -7x + xA + xB = 0 + 7x + -7x + -1xB + xB
-13 + 1A + -2B + -7x + xA + xB = 7x + -7x + -1xB + xB

Combine like terms: 7x + -7x = 0
-13 + 1A + -2B + -7x + xA + xB = 0 + -1xB + xB
-13 + 1A + -2B + -7x + xA + xB = -1xB + xB

Combine like terms: -1xB + xB = 0
-13 + 1A + -2B + -7x + xA + xB = 0

The solution to this equation could not be determined.

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