(a+1)x(10-b)=12

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Solution for (a+1)x(10-b)=12 equation: 


Simplifying
(a + 1) * x(10 + -1b) = 12

Reorder the terms:
(1 + a) * x(10 + -1b) = 12

Reorder the terms for easier multiplication:
x(1 + a)(10 + -1b) = 12

Multiply (1 + a) * (10 + -1b)
x(1(10 + -1b) + a(10 + -1b)) = 12
x((10 * 1 + -1b * 1) + a(10 + -1b)) = 12
x((10 + -1b) + a(10 + -1b)) = 12
x(10 + -1b + (10 * a + -1b * a)) = 12
x(10 + -1b + (10a + -1ab)) = 12

Reorder the terms:
x(10 + 10a + -1ab + -1b) = 12
x(10 + 10a + -1ab + -1b) = 12
(10 * x + 10a * x + -1ab * x + -1b * x) = 12

Reorder the terms:
(-1abx + 10ax + -1bx + 10x) = 12
(-1abx + 10ax + -1bx + 10x) = 12

Solving
-1abx + 10ax + -1bx + 10x = 12

Solving for variable 'a'.

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

Add 'bx' to each side of the equation.
-1abx + 10ax + -1bx + bx + 10x = 12 + bx

Combine like terms: -1bx + bx = 0
-1abx + 10ax + 0 + 10x = 12 + bx
-1abx + 10ax + 10x = 12 + bx

Add '-10x' to each side of the equation.
-1abx + 10ax + 10x + -10x = 12 + bx + -10x

Combine like terms: 10x + -10x = 0
-1abx + 10ax + 0 = 12 + bx + -10x
-1abx + 10ax = 12 + bx + -10x

Reorder the terms:
-12 + -1abx + 10ax + -1bx + 10x = 12 + bx + -10x + -12 + -1bx + 10x

Reorder the terms:
-12 + -1abx + 10ax + -1bx + 10x = 12 + -12 + bx + -1bx + -10x + 10x

Combine like terms: 12 + -12 = 0
-12 + -1abx + 10ax + -1bx + 10x = 0 + bx + -1bx + -10x + 10x
-12 + -1abx + 10ax + -1bx + 10x = bx + -1bx + -10x + 10x

Combine like terms: bx + -1bx = 0
-12 + -1abx + 10ax + -1bx + 10x = 0 + -10x + 10x
-12 + -1abx + 10ax + -1bx + 10x = -10x + 10x

Combine like terms: -10x + 10x = 0
-12 + -1abx + 10ax + -1bx + 10x = 0

The solution to this equation could not be determined.

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