3(x-7)-2(x+5)=ax+b

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Solution for 3(x-7)-2(x+5)=ax+b equation:


Simplifying
3(x + -7) + -2(x + 5) = ax + b

Reorder the terms:
3(-7 + x) + -2(x + 5) = ax + b
(-7 * 3 + x * 3) + -2(x + 5) = ax + b
(-21 + 3x) + -2(x + 5) = ax + b

Reorder the terms:
-21 + 3x + -2(5 + x) = ax + b
-21 + 3x + (5 * -2 + x * -2) = ax + b
-21 + 3x + (-10 + -2x) = ax + b

Reorder the terms:
-21 + -10 + 3x + -2x = ax + b

Combine like terms: -21 + -10 = -31
-31 + 3x + -2x = ax + b

Combine like terms: 3x + -2x = 1x
-31 + 1x = ax + b

Solving
-31 + 1x = 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.
-31 + -1ax + 1x = ax + -1ax + b

Combine like terms: ax + -1ax = 0
-31 + -1ax + 1x = 0 + b
-31 + -1ax + 1x = b

Add '31' to each side of the equation.
-31 + -1ax + 31 + 1x = 31 + b

Reorder the terms:
-31 + 31 + -1ax + 1x = 31 + b

Combine like terms: -31 + 31 = 0
0 + -1ax + 1x = 31 + b
-1ax + 1x = 31 + b

Reorder the terms:
-31 + -1ax + -1b + 1x = 31 + b + -31 + -1b

Reorder the terms:
-31 + -1ax + -1b + 1x = 31 + -31 + b + -1b

Combine like terms: 31 + -31 = 0
-31 + -1ax + -1b + 1x = 0 + b + -1b
-31 + -1ax + -1b + 1x = b + -1b

Combine like terms: b + -1b = 0
-31 + -1ax + -1b + 1x = 0

The solution to this equation could not be determined.

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