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

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


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

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

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

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

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

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

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

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

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

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

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

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

Divide each side by '-3'.
a = 0.6666666667b + -1x + 0.6666666667z

Simplifying
a = 0.6666666667b + -1x + 0.6666666667z

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