-2(x+3)=a(x)-3

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

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

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

Multiply a * x
-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.