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

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

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

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

Remove parenthesis around (3x)
3 = 1A + 2xA + B * 3x

Reorder the terms for easier multiplication:
3 = 1A + 2xA + 3B * x

Multiply B * x
3 = 1A + 2xA + 3xB

Solving
3 = 1A + 2xA + 3xB

Solving for variable 'A'.

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

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.