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

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Solution for 6(a+x)=b-a+2x equation:


Simplifying
6(a + x) = b + -1a + 2x
(a * 6 + x * 6) = b + -1a + 2x
(6a + 6x) = b + -1a + 2x

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

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

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

Combine like terms: 6a + a = 7a
7a + 6x = -1a + b + a + 2x

Reorder the terms:
7a + 6x = -1a + a + b + 2x

Combine like terms: -1a + a = 0
7a + 6x = 0 + b + 2x
7a + 6x = b + 2x

Add '-6x' to each side of the equation.
7a + 6x + -6x = b + 2x + -6x

Combine like terms: 6x + -6x = 0
7a + 0 = b + 2x + -6x
7a = b + 2x + -6x

Combine like terms: 2x + -6x = -4x
7a = b + -4x

Divide each side by '7'.
a = 0.1428571429b + -0.5714285714x

Simplifying
a = 0.1428571429b + -0.5714285714x

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