(2a+3b)-(3a+b)-(a-b)(e+1)=

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Solution for (2a+3b)-(3a+b)-(a-b)(e+1)= equation:


Simplifying
(2a + 3b) + -1(3a + b) + -1(a + -1b)(e + 1) = 0

Remove parenthesis around (2a + 3b)
2a + 3b + -1(3a + b) + -1(a + -1b)(e + 1) = 0
2a + 3b + (3a * -1 + b * -1) + -1(a + -1b)(e + 1) = 0
2a + 3b + (-3a + -1b) + -1(a + -1b)(e + 1) = 0

Reorder the terms:
2a + 3b + -3a + -1b + -1(a + -1b)(1 + e) = 0

Multiply (a + -1b) * (1 + e)
2a + 3b + -3a + -1b + -1(a(1 + e) + -1b * (1 + e)) = 0
2a + 3b + -3a + -1b + -1((1 * a + e * a) + -1b * (1 + e)) = 0
2a + 3b + -3a + -1b + -1((1a + ae) + -1b * (1 + e)) = 0
2a + 3b + -3a + -1b + -1(1a + ae + (1 * -1b + e * -1b)) = 0
2a + 3b + -3a + -1b + -1(1a + ae + (-1b + -1be)) = 0
2a + 3b + -3a + -1b + -1(1a + ae + -1b + -1be) = 0
2a + 3b + -3a + -1b + (1a * -1 + ae * -1 + -1b * -1 + -1be * -1) = 0
2a + 3b + -3a + -1b + (-1a + -1ae + 1b + 1be) = 0

Reorder the terms:
2a + -3a + -1a + -1ae + 3b + -1b + 1b + 1be = 0

Combine like terms: 2a + -3a = -1a
-1a + -1a + -1ae + 3b + -1b + 1b + 1be = 0

Combine like terms: -1a + -1a = -2a
-2a + -1ae + 3b + -1b + 1b + 1be = 0

Combine like terms: 3b + -1b = 2b
-2a + -1ae + 2b + 1b + 1be = 0

Combine like terms: 2b + 1b = 3b
-2a + -1ae + 3b + 1be = 0

Solving
-2a + -1ae + 3b + 1be = 0

Solving for variable 'a'.

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

Add '-3b' to each side of the equation.
-2a + -1ae + 3b + -3b + 1be = 0 + -3b

Combine like terms: 3b + -3b = 0
-2a + -1ae + 0 + 1be = 0 + -3b
-2a + -1ae + 1be = 0 + -3b
Remove the zero:
-2a + -1ae + 1be = -3b

Add '-1be' to each side of the equation.
-2a + -1ae + 1be + -1be = -3b + -1be

Combine like terms: 1be + -1be = 0
-2a + -1ae + 0 = -3b + -1be
-2a + -1ae = -3b + -1be

Reorder the terms:
-2a + -1ae + 3b + be = -3b + 3b + -1be + be

Combine like terms: -3b + 3b = 0
-2a + -1ae + 3b + be = 0 + -1be + be
-2a + -1ae + 3b + be = -1be + be

Combine like terms: -1be + be = 0
-2a + -1ae + 3b + be = 0

The solution to this equation could not be determined.

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