2x-2a+2c=-3x+a+4c

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Solution for 2x-2a+2c=-3x+a+4c equation:


Simplifying
2x + -2a + 2c = -3x + a + 4c

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

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

Solving
-2a + 2c + 2x = a + 4c + -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 + 2c + -1a + 2x = a + 4c + -1a + -3x

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

Combine like terms: -2a + -1a = -3a
-3a + 2c + 2x = a + 4c + -1a + -3x

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

Combine like terms: a + -1a = 0
-3a + 2c + 2x = 0 + 4c + -3x
-3a + 2c + 2x = 4c + -3x

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

Combine like terms: 2c + -2c = 0
-3a + 0 + 2x = 4c + -2c + -3x
-3a + 2x = 4c + -2c + -3x

Combine like terms: 4c + -2c = 2c
-3a + 2x = 2c + -3x

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

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

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

Divide each side by '-3'.
a = -0.6666666667c + 1.666666667x

Simplifying
a = -0.6666666667c + 1.666666667x

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