7x-14b+b(5-x)+4bx=10x-3(2b+x)

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Solution for 7x-14b+b(5-x)+4bx=10x-3(2b+x) equation: 


Simplifying
7x + -14b + b(5 + -1x) + 4bx = 10x + -3(2b + x)
7x + -14b + (5 * b + -1x * b) + 4bx = 10x + -3(2b + x)
7x + -14b + (5b + -1bx) + 4bx = 10x + -3(2b + x)

Reorder the terms:
-14b + 5b + -1bx + 4bx + 7x = 10x + -3(2b + x)

Combine like terms: -14b + 5b = -9b
-9b + -1bx + 4bx + 7x = 10x + -3(2b + x)

Combine like terms: -1bx + 4bx = 3bx
-9b + 3bx + 7x = 10x + -3(2b + x)
-9b + 3bx + 7x = 10x + (2b * -3 + x * -3)
-9b + 3bx + 7x = 10x + (-6b + -3x)

Reorder the terms:
-9b + 3bx + 7x = -6b + 10x + -3x

Combine like terms: 10x + -3x = 7x
-9b + 3bx + 7x = -6b + 7x

Add '-7x' to each side of the equation.
-9b + 3bx + 7x + -7x = -6b + 7x + -7x

Combine like terms: 7x + -7x = 0
-9b + 3bx + 0 = -6b + 7x + -7x
-9b + 3bx = -6b + 7x + -7x

Combine like terms: 7x + -7x = 0
-9b + 3bx = -6b + 0
-9b + 3bx = -6b

Solving
-9b + 3bx = -6b

Solving for variable 'b'.

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

Add '6b' to each side of the equation.
-9b + 6b + 3bx = -6b + 6b

Combine like terms: -9b + 6b = -3b
-3b + 3bx = -6b + 6b

Combine like terms: -6b + 6b = 0
-3b + 3bx = 0

Factor out the Greatest Common Factor (GCF), '3b'.
3b(-1 + x) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'b' equal to zero and attempt to solve:

Simplifying
b = 0

Solving
b = 0

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

Simplifying
b = 0

Subproblem 2
Set the factor '(-1 + x)' equal to zero and attempt to solve:

Simplifying
-1 + x = 0

Solving
-1 + x = 0

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

Add '1' to each side of the equation.
-1 + 1 + x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + x = 0 + 1
x = 0 + 1

Combine like terms: 0 + 1 = 1
x = 1

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

Combine like terms: x + -1x = 0
0 = 1 + -1x

Simplifying
0 = 1 + -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
b = {0}

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