x-a+2=2ax-3(a+x)-2(a-5)

Solution for x-a+2=2ax-3(a+x)-2(a-5) equation:

Simplifying
x + -1a + 2 = 2ax + -3(a + x) + -2(a + -5)

Reorder the terms:
2 + -1a + x = 2ax + -3(a + x) + -2(a + -5)
2 + -1a + x = 2ax + (a * -3 + x * -3) + -2(a + -5)
2 + -1a + x = 2ax + (-3a + -3x) + -2(a + -5)

Reorder the terms:
2 + -1a + x = 2ax + -3a + -3x + -2(-5 + a)
2 + -1a + x = 2ax + -3a + -3x + (-5 * -2 + a * -2)
2 + -1a + x = 2ax + -3a + -3x + (10 + -2a)

Reorder the terms:
2 + -1a + x = 10 + -3a + -2a + 2ax + -3x

Combine like terms: -3a + -2a = -5a
2 + -1a + x = 10 + -5a + 2ax + -3x

Solving
2 + -1a + x = 10 + -5a + 2ax + -3x

Solving for variable 'a'.

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

Add '5a' to each side of the equation.
2 + -1a + 5a + x = 10 + -5a + 2ax + 5a + -3x

Combine like terms: -1a + 5a = 4a
2 + 4a + x = 10 + -5a + 2ax + 5a + -3x

Reorder the terms:
2 + 4a + x = 10 + -5a + 5a + 2ax + -3x

Combine like terms: -5a + 5a = 0
2 + 4a + x = 10 + 0 + 2ax + -3x
2 + 4a + x = 10 + 2ax + -3x

Add '-2ax' to each side of the equation.
2 + 4a + -2ax + x = 10 + 2ax + -2ax + -3x

Combine like terms: 2ax + -2ax = 0
2 + 4a + -2ax + x = 10 + 0 + -3x
2 + 4a + -2ax + x = 10 + -3x

Add '-2' to each side of the equation.
2 + 4a + -2ax + -2 + x = 10 + -2 + -3x

Reorder the terms:
2 + -2 + 4a + -2ax + x = 10 + -2 + -3x

Combine like terms: 2 + -2 = 0
0 + 4a + -2ax + x = 10 + -2 + -3x
4a + -2ax + x = 10 + -2 + -3x

Combine like terms: 10 + -2 = 8
4a + -2ax + x = 8 + -3x

Add '-1x' to each side of the equation.
4a + -2ax + x + -1x = 8 + -3x + -1x

Combine like terms: x + -1x = 0
4a + -2ax + 0 = 8 + -3x + -1x
4a + -2ax = 8 + -3x + -1x

Combine like terms: -3x + -1x = -4x
4a + -2ax = 8 + -4x

Reorder the terms:
-8 + 4a + -2ax + 4x = 8 + -4x + -8 + 4x

Reorder the terms:
-8 + 4a + -2ax + 4x = 8 + -8 + -4x + 4x

Combine like terms: 8 + -8 = 0
-8 + 4a + -2ax + 4x = 0 + -4x + 4x
-8 + 4a + -2ax + 4x = -4x + 4x

Combine like terms: -4x + 4x = 0
-8 + 4a + -2ax + 4x = 0

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

Ignore the factor 2.
Subproblem 1
Set the factor '(-4 + 2a + -1ax + 2x)' equal to zero and attempt to solve:

Simplifying
-4 + 2a + -1ax + 2x = 0

Solving
-4 + 2a + -1ax + 2x = 0

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

Add '4' to each side of the equation.
-4 + 2a + -1ax + 4 + 2x = 0 + 4

Reorder the terms:
-4 + 4 + 2a + -1ax + 2x = 0 + 4

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

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

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

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

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.