ax+b=5(x-a)

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


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

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

Solving
ax + b = -5a + 5x

Solving for variable 'a'.

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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