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

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


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

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

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

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

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

Solving for variable 'a'.

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

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

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

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

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

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

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

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

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

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

Divide each side by '-3'.
a = b + -0.3333333333x

Simplifying
a = b + -0.3333333333x

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