0.25(8+3x)=2-bx

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Solution for 0.25(8+3x)=2-bx equation: 


Simplifying
0.25(8 + 3x) = 2 + -1bx
(8 * 0.25 + 3x * 0.25) = 2 + -1bx
(2 + 0.75x) = 2 + -1bx

Add '-2' to each side of the equation.
2 + -2 + 0.75x = 2 + -2 + -1bx

Combine like terms: 2 + -2 = 0
0 + 0.75x = 2 + -2 + -1bx
0.75x = 2 + -2 + -1bx

Combine like terms: 2 + -2 = 0
0.75x = 0 + -1bx
0.75x = -1bx

Solving
0.75x = -1bx

Solving for variable 'x'.

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

Add 'bx' to each side of the equation.
bx + 0.75x = -1bx + bx

Combine like terms: -1bx + bx = 0
bx + 0.75x = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(b + 0.75) = 0


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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(b + 0.75)' equal to zero and attempt to solve:

Simplifying
b + 0.75 = 0

Reorder the terms:
0.75 + b = 0

Solving
0.75 + b = 0

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

Add '-0.75' to each side of the equation.
0.75 + -0.75 + b = 0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + b = 0 + -0.75
b = 0 + -0.75

Combine like terms: 0 + -0.75 = -0.75
b = -0.75

Add '-1b' to each side of the equation.
b + -1b = -0.75 + -1b

Combine like terms: b + -1b = 0
0 = -0.75 + -1b

Simplifying
0 = -0.75 + -1b

The solution to this equation could not be determined.

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

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