5(a-b)=xa+xb

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Solution for 5(a-b)=xa+xb equation:


Simplifying
5(a + -1b) = xa + xb
(a * 5 + -1b * 5) = xa + xb
(5a + -5b) = xa + xb

Solving
5a + -5b = ax + bx

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-1ax' to each side of the equation.
5a + -1ax + -5b = ax + -1ax + bx

Combine like terms: ax + -1ax = 0
5a + -1ax + -5b = 0 + bx
5a + -1ax + -5b = bx

Add '5b' to each side of the equation.
5a + -1ax + -5b + 5b = 5b + bx

Combine like terms: -5b + 5b = 0
5a + -1ax + 0 = 5b + bx
5a + -1ax = 5b + bx

Reorder the terms:
5a + -1ax + -5b + -1bx = 5b + -5b + bx + -1bx

Combine like terms: 5b + -5b = 0
5a + -1ax + -5b + -1bx = 0 + bx + -1bx
5a + -1ax + -5b + -1bx = bx + -1bx

Combine like terms: bx + -1bx = 0
5a + -1ax + -5b + -1bx = 0

The solution to this equation could not be determined.

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