b(a-3x)=b(2x+c)

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


Simplifying
b(a + -3x) = b(2x + c)
(a * b + -3x * b) = b(2x + c)
(ab + -3bx) = b(2x + c)

Reorder the terms:
ab + -3bx = b(c + 2x)
ab + -3bx = (c * b + 2x * b)
ab + -3bx = (bc + 2bx)

Solving
ab + -3bx = bc + 2bx

Solving for variable 'a'.

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

Add '3bx' to each side of the equation.
ab + -3bx + 3bx = bc + 2bx + 3bx

Combine like terms: -3bx + 3bx = 0
ab + 0 = bc + 2bx + 3bx
ab = bc + 2bx + 3bx

Combine like terms: 2bx + 3bx = 5bx
ab = bc + 5bx

Divide each side by 'b'.
a = c + 5x

Simplifying
a = c + 5x

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