-2(x+3)=ax-3

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Solution for -2(x+3)=ax-3 equation:


Simplifying
-2(x + 3) = ax + -3

Reorder the terms:
-2(3 + x) = ax + -3
(3 * -2 + x * -2) = ax + -3
(-6 + -2x) = ax + -3

Reorder the terms:
-6 + -2x = -3 + ax

Solving
-6 + -2x = -3 + ax

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.
-6 + -1ax + -2x = -3 + ax + -1ax

Combine like terms: ax + -1ax = 0
-6 + -1ax + -2x = -3 + 0
-6 + -1ax + -2x = -3

Add '6' to each side of the equation.
-6 + -1ax + 6 + -2x = -3 + 6

Reorder the terms:
-6 + 6 + -1ax + -2x = -3 + 6

Combine like terms: -6 + 6 = 0
0 + -1ax + -2x = -3 + 6
-1ax + -2x = -3 + 6

Combine like terms: -3 + 6 = 3
-1ax + -2x = 3

Reorder the terms:
-3 + -1ax + -2x = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + -1ax + -2x = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(3 + ax + 2x) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(3 + ax + 2x)' equal to zero and attempt to solve: Simplifying 3 + ax + 2x = 0 Solving 3 + ax + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + ax + -3 + 2x = 0 + -3 Reorder the terms: 3 + -3 + ax + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + ax + 2x = 0 + -3 ax + 2x = 0 + -3 Combine like terms: 0 + -3 = -3 ax + 2x = -3 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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