-4x-2=ax+b

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Solution for -4x-2=ax+b equation:


Simplifying
-4x + -2 = ax + b

Reorder the terms:
-2 + -4x = ax + b

Solving
-2 + -4x = 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.
-2 + -1ax + -4x = ax + -1ax + b

Combine like terms: ax + -1ax = 0
-2 + -1ax + -4x = 0 + b
-2 + -1ax + -4x = b

Add '2' to each side of the equation.
-2 + -1ax + 2 + -4x = 2 + b

Reorder the terms:
-2 + 2 + -1ax + -4x = 2 + b

Combine like terms: -2 + 2 = 0
0 + -1ax + -4x = 2 + b
-1ax + -4x = 2 + b

Reorder the terms:
-2 + -1ax + -1b + -4x = 2 + b + -2 + -1b

Reorder the terms:
-2 + -1ax + -1b + -4x = 2 + -2 + b + -1b

Combine like terms: 2 + -2 = 0
-2 + -1ax + -1b + -4x = 0 + b + -1b
-2 + -1ax + -1b + -4x = b + -1b

Combine like terms: b + -1b = 0
-2 + -1ax + -1b + -4x = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(2 + ax + b + 4x) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(2 + ax + b + 4x)' equal to zero and attempt to solve: Simplifying 2 + ax + b + 4x = 0 Solving 2 + ax + b + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + ax + b + -2 + 4x = 0 + -2 Reorder the terms: 2 + -2 + ax + b + 4x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + ax + b + 4x = 0 + -2 ax + b + 4x = 0 + -2 Combine like terms: 0 + -2 = -2 ax + b + 4x = -2 Add '-1b' to each side of the equation. ax + b + -1b + 4x = -2 + -1b Combine like terms: b + -1b = 0 ax + 0 + 4x = -2 + -1b ax + 4x = -2 + -1b 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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