a(x-3)+8=b(x-1)

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Solution for a(x-3)+8=b(x-1) equation:


Simplifying
a(x + -3) + 8 = b(x + -1)

Reorder the terms:
a(-3 + x) + 8 = b(x + -1)
(-3 * a + x * a) + 8 = b(x + -1)
(-3a + ax) + 8 = b(x + -1)

Reorder the terms:
8 + -3a + ax = b(x + -1)

Reorder the terms:
8 + -3a + ax = b(-1 + x)
8 + -3a + ax = (-1 * b + x * b)
8 + -3a + ax = (-1b + bx)

Solving
8 + -3a + ax = -1b + bx

Solving for variable 'a'.

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

Add '-8' to each side of the equation.
8 + -3a + -8 + ax = -1b + -8 + bx

Reorder the terms:
8 + -8 + -3a + ax = -1b + -8 + bx

Combine like terms: 8 + -8 = 0
0 + -3a + ax = -1b + -8 + bx
-3a + ax = -1b + -8 + bx

Reorder the terms:
-3a + ax = -8 + -1b + bx

Reorder the terms:
8 + -3a + ax + b + -1bx = -8 + -1b + bx + 8 + b + -1bx

Reorder the terms:
8 + -3a + ax + b + -1bx = -8 + 8 + -1b + b + bx + -1bx

Combine like terms: -8 + 8 = 0
8 + -3a + ax + b + -1bx = 0 + -1b + b + bx + -1bx
8 + -3a + ax + b + -1bx = -1b + b + bx + -1bx

Combine like terms: -1b + b = 0
8 + -3a + ax + b + -1bx = 0 + bx + -1bx
8 + -3a + ax + b + -1bx = bx + -1bx

Combine like terms: bx + -1bx = 0
8 + -3a + ax + b + -1bx = 0

The solution to this equation could not be determined.

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