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

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


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

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

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

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

Combine like terms: x + 2x = 3x
-1a + -1b + 3x = 3x

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

Combine like terms: 3x + -3x = 0
-1a + -1b + 0 = 3x + -3x
-1a + -1b = 3x + -3x

Combine like terms: 3x + -3x = 0
-1a + -1b = 0

Solving
-1a + -1b = 0

Solving for variable 'a'.

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

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

Combine like terms: -1b + b = 0
-1a + 0 = 0 + b
-1a = 0 + b
Remove the zero:
-1a = b

Divide each side by '-1'.
a = -1b

Simplifying
a = -1b

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