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

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Solution for 3(x-5)-7=ax+b equation:


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

Reorder the terms:
3(-5 + x) + -7 = ax + b
(-5 * 3 + x * 3) + -7 = ax + b
(-15 + 3x) + -7 = ax + b

Reorder the terms:
-15 + -7 + 3x = ax + b

Combine like terms: -15 + -7 = -22
-22 + 3x = ax + b

Solving
-22 + 3x = 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.
-22 + -1ax + 3x = ax + -1ax + b

Combine like terms: ax + -1ax = 0
-22 + -1ax + 3x = 0 + b
-22 + -1ax + 3x = b

Add '22' to each side of the equation.
-22 + -1ax + 22 + 3x = 22 + b

Reorder the terms:
-22 + 22 + -1ax + 3x = 22 + b

Combine like terms: -22 + 22 = 0
0 + -1ax + 3x = 22 + b
-1ax + 3x = 22 + b

Reorder the terms:
-22 + -1ax + -1b + 3x = 22 + b + -22 + -1b

Reorder the terms:
-22 + -1ax + -1b + 3x = 22 + -22 + b + -1b

Combine like terms: 22 + -22 = 0
-22 + -1ax + -1b + 3x = 0 + b + -1b
-22 + -1ax + -1b + 3x = b + -1b

Combine like terms: b + -1b = 0
-22 + -1ax + -1b + 3x = 0

The solution to this equation could not be determined.

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