4(x-a)+5b=5x+a

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Solution for 4(x-a)+5b=5x+a equation:


Simplifying
4(x + -1a) + 5b = 5x + a

Reorder the terms:
4(-1a + x) + 5b = 5x + a
(-1a * 4 + x * 4) + 5b = 5x + a
(-4a + 4x) + 5b = 5x + a

Reorder the terms:
-4a + 5b + 4x = 5x + a

Reorder the terms:
-4a + 5b + 4x = a + 5x

Solving
-4a + 5b + 4x = a + 5x

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.
-4a + 5b + -1a + 4x = a + -1a + 5x

Reorder the terms:
-4a + -1a + 5b + 4x = a + -1a + 5x

Combine like terms: -4a + -1a = -5a
-5a + 5b + 4x = a + -1a + 5x

Combine like terms: a + -1a = 0
-5a + 5b + 4x = 0 + 5x
-5a + 5b + 4x = 5x

Add '-5b' to each side of the equation.
-5a + 5b + -5b + 4x = -5b + 5x

Combine like terms: 5b + -5b = 0
-5a + 0 + 4x = -5b + 5x
-5a + 4x = -5b + 5x

Add '-4x' to each side of the equation.
-5a + 4x + -4x = -5b + 5x + -4x

Combine like terms: 4x + -4x = 0
-5a + 0 = -5b + 5x + -4x
-5a = -5b + 5x + -4x

Combine like terms: 5x + -4x = 1x
-5a = -5b + 1x

Divide each side by '-5'.
a = b + -0.2x

Simplifying
a = b + -0.2x

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