(a-3)x=2b-4

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Solution for (a-3)x=2b-4 equation:


Simplifying
(a + -3) * x = 2b + -4

Reorder the terms:
(-3 + a) * x = 2b + -4

Reorder the terms for easier multiplication:
x(-3 + a) = 2b + -4
(-3 * x + a * x) = 2b + -4

Reorder the terms:
(ax + -3x) = 2b + -4
(ax + -3x) = 2b + -4

Reorder the terms:
ax + -3x = -4 + 2b

Solving
ax + -3x = -4 + 2b

Solving for variable 'a'.

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

Add '3x' to each side of the equation.
ax + -3x + 3x = -4 + 2b + 3x

Combine like terms: -3x + 3x = 0
ax + 0 = -4 + 2b + 3x
ax = -4 + 2b + 3x

Divide each side by 'x'.
a = -4x-1 + 2bx-1 + 3

Simplifying
a = -4x-1 + 2bx-1 + 3

Reorder the terms:
a = 3 + 2bx-1 + -4x-1

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