a(2x+5)-b(3x-2)=0

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Solution for a(2x+5)-b(3x-2)=0 equation: 


Simplifying
a(2x + 5) + -1b(3x + -2) = 0

Reorder the terms:
a(5 + 2x) + -1b(3x + -2) = 0
(5 * a + 2x * a) + -1b(3x + -2) = 0
(5a + 2ax) + -1b(3x + -2) = 0

Reorder the terms:
5a + 2ax + -1b(-2 + 3x) = 0
5a + 2ax + (-2 * -1b + 3x * -1b) = 0
5a + 2ax + (2b + -3bx) = 0

Solving
5a + 2ax + 2b + -3bx = 0

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.
5a + 2ax + 2b + -2b + -3bx = 0 + -2b

Combine like terms: 2b + -2b = 0
5a + 2ax + 0 + -3bx = 0 + -2b
5a + 2ax + -3bx = 0 + -2b
Remove the zero:
5a + 2ax + -3bx = -2b

Add '3bx' to each side of the equation.
5a + 2ax + -3bx + 3bx = -2b + 3bx

Combine like terms: -3bx + 3bx = 0
5a + 2ax + 0 = -2b + 3bx
5a + 2ax = -2b + 3bx

Reorder the terms:
5a + 2ax + 2b + -3bx = -2b + 2b + 3bx + -3bx

Combine like terms: -2b + 2b = 0
5a + 2ax + 2b + -3bx = 0 + 3bx + -3bx
5a + 2ax + 2b + -3bx = 3bx + -3bx

Combine like terms: 3bx + -3bx = 0
5a + 2ax + 2b + -3bx = 0

The solution to this equation could not be determined.

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