ax+b=bx-a

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Solution for ax+b=bx-a equation:


Simplifying
ax + b = bx + -1a

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

Solving
ax + b = -1a + bx

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.
ax + a + b = -1a + a + bx

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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