12(b+2)=8(b+5)The

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Solution for 12(b+2)=8(b+5)The equation: 


Simplifying
12(b + 2) = 8(b + 5) * The

Reorder the terms:
12(2 + b) = 8(b + 5) * The
(2 * 12 + b * 12) = 8(b + 5) * The
(24 + 12b) = 8(b + 5) * The

Reorder the terms:
24 + 12b = 8(5 + b) * The

Reorder the terms for easier multiplication:
24 + 12b = 8ehT(5 + b)
24 + 12b = (5 * 8ehT + b * 8ehT)

Reorder the terms:
24 + 12b = (8behT + 40ehT)
24 + 12b = (8behT + 40ehT)

Solving
24 + 12b = 8behT + 40ehT

Solving for variable 'b'.

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

Add '-8behT' to each side of the equation.
24 + 12b + -8behT = 8behT + -8behT + 40ehT

Combine like terms: 8behT + -8behT = 0
24 + 12b + -8behT = 0 + 40ehT
24 + 12b + -8behT = 40ehT

Add '-24' to each side of the equation.
24 + 12b + -24 + -8behT = -24 + 40ehT

Reorder the terms:
24 + -24 + 12b + -8behT = -24 + 40ehT

Combine like terms: 24 + -24 = 0
0 + 12b + -8behT = -24 + 40ehT
12b + -8behT = -24 + 40ehT

Reorder the terms:
24 + 12b + -8behT + -40ehT = -24 + 40ehT + 24 + -40ehT

Reorder the terms:
24 + 12b + -8behT + -40ehT = -24 + 24 + 40ehT + -40ehT

Combine like terms: -24 + 24 = 0
24 + 12b + -8behT + -40ehT = 0 + 40ehT + -40ehT
24 + 12b + -8behT + -40ehT = 40ehT + -40ehT

Combine like terms: 40ehT + -40ehT = 0
24 + 12b + -8behT + -40ehT = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(6 + 3b + -2behT + -10ehT) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(6 + 3b + -2behT + -10ehT)' equal to zero and attempt to solve:

Simplifying
6 + 3b + -2behT + -10ehT = 0

Solving
6 + 3b + -2behT + -10ehT = 0

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

Add '-6' to each side of the equation.
6 + 3b + -2behT + -6 + -10ehT = 0 + -6

Reorder the terms:
6 + -6 + 3b + -2behT + -10ehT = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 3b + -2behT + -10ehT = 0 + -6
3b + -2behT + -10ehT = 0 + -6

Combine like terms: 0 + -6 = -6
3b + -2behT + -10ehT = -6

Add '10ehT' to each side of the equation.
3b + -2behT + -10ehT + 10ehT = -6 + 10ehT

Combine like terms: -10ehT + 10ehT = 0
3b + -2behT + 0 = -6 + 10ehT
3b + -2behT = -6 + 10ehT

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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