5x-7(x-1)=ax+b

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Solution for 5x-7(x-1)=ax+b equation:


Simplifying
5x + -7(x + -1) = ax + b

Reorder the terms:
5x + -7(-1 + x) = ax + b
5x + (-1 * -7 + x * -7) = ax + b
5x + (7 + -7x) = ax + b

Reorder the terms:
7 + 5x + -7x = ax + b

Combine like terms: 5x + -7x = -2x
7 + -2x = ax + b

Solving
7 + -2x = ax + b

Solving for variable 'x'.

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

Add '-1ax' to each side of the equation.
7 + -1ax + -2x = ax + -1ax + b

Combine like terms: ax + -1ax = 0
7 + -1ax + -2x = 0 + b
7 + -1ax + -2x = b

Add '-7' to each side of the equation.
7 + -1ax + -7 + -2x = -7 + b

Reorder the terms:
7 + -7 + -1ax + -2x = -7 + b

Combine like terms: 7 + -7 = 0
0 + -1ax + -2x = -7 + b
-1ax + -2x = -7 + b

Reorder the terms:
7 + -1ax + -1b + -2x = -7 + b + 7 + -1b

Reorder the terms:
7 + -1ax + -1b + -2x = -7 + 7 + b + -1b

Combine like terms: -7 + 7 = 0
7 + -1ax + -1b + -2x = 0 + b + -1b
7 + -1ax + -1b + -2x = b + -1b

Combine like terms: b + -1b = 0
7 + -1ax + -1b + -2x = 0

The solution to this equation could not be determined.

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