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

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Solution for a+(x-1)b-1=4 equation:


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

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

Reorder the terms for easier multiplication:
a + b(-1 + x) + -1 = 4
a + (-1 * b + x * b) + -1 = 4
a + (-1b + bx) + -1 = 4

Reorder the terms:
-1 + a + -1b + bx = 4

Solving
-1 + a + -1b + bx = 4

Solving for variable 'a'.

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

Add '1' to each side of the equation.
-1 + a + -1b + 1 + bx = 4 + 1

Reorder the terms:
-1 + 1 + a + -1b + bx = 4 + 1

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

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

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

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

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

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

Simplifying
a = 5 + b + -1bx

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