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

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


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

Reorder the terms:
3(-2a + x) + 2b = x + -1a
(-2a * 3 + x * 3) + 2b = x + -1a
(-6a + 3x) + 2b = x + -1a

Reorder the terms:
-6a + 2b + 3x = x + -1a

Reorder the terms:
-6a + 2b + 3x = -1a + x

Solving
-6a + 2b + 3x = -1a + x

Solving for variable 'a'.

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

Add 'a' to each side of the equation.
-6a + 2b + a + 3x = -1a + a + x

Reorder the terms:
-6a + a + 2b + 3x = -1a + a + x

Combine like terms: -6a + a = -5a
-5a + 2b + 3x = -1a + a + x

Combine like terms: -1a + a = 0
-5a + 2b + 3x = 0 + x
-5a + 2b + 3x = x

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

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

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

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

Combine like terms: x + -3x = -2x
-5a = -2b + -2x

Divide each side by '-5'.
a = 0.4b + 0.4x

Simplifying
a = 0.4b + 0.4x

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