3(x-a)+b=4x+a

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Solution for 3(x-a)+b=4x+a equation:


Simplifying
3(x + -1a) + b = 4x + a

Reorder the terms:
3(-1a + x) + b = 4x + a
(-1a * 3 + x * 3) + b = 4x + a
(-3a + 3x) + b = 4x + a

Reorder the terms:
-3a + b + 3x = 4x + a

Reorder the terms:
-3a + b + 3x = a + 4x

Solving
-3a + b + 3x = a + 4x

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.
-3a + b + -1a + 3x = a + -1a + 4x

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

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

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

Add '-1b' to each side of the equation.
-4a + b + -1b + 3x = -1b + 4x

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

Add '-3x' to each side of the equation.
-4a + 3x + -3x = -1b + 4x + -3x

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

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

Divide each side by '-4'.
a = 0.25b + -0.25x

Simplifying
a = 0.25b + -0.25x

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