3x-(1-x)=2xz-7

Solution for 3x-(1-x)=2xz-7 equation:

Simplifying
3x + -1(1 + -1x) = 2xz + -7
3x + (1 * -1 + -1x * -1) = 2xz + -7
3x + (-1 + 1x) = 2xz + -7

Reorder the terms:
-1 + 3x + 1x = 2xz + -7

Combine like terms: 3x + 1x = 4x
-1 + 4x = 2xz + -7

Reorder the terms:
-1 + 4x = -7 + 2xz

Solving
-1 + 4x = -7 + 2xz

Solving for variable 'x'.

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

Add '-2xz' to each side of the equation.
-1 + 4x + -2xz = -7 + 2xz + -2xz

Combine like terms: 2xz + -2xz = 0
-1 + 4x + -2xz = -7 + 0
-1 + 4x + -2xz = -7

Add '1' to each side of the equation.
-1 + 4x + 1 + -2xz = -7 + 1

Reorder the terms:
-1 + 1 + 4x + -2xz = -7 + 1

Combine like terms: -1 + 1 = 0
0 + 4x + -2xz = -7 + 1
4x + -2xz = -7 + 1

Combine like terms: -7 + 1 = -6
4x + -2xz = -6

Reorder the terms:
6 + 4x + -2xz = -6 + 6

Combine like terms: -6 + 6 = 0
6 + 4x + -2xz = 0

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

Ignore the factor 2.
Subproblem 1
Set the factor '(3 + 2x + -1xz)' equal to zero and attempt to solve:

Simplifying
3 + 2x + -1xz = 0

Solving
3 + 2x + -1xz = 0

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

Add '-3' to each side of the equation.
3 + 2x + -3 + -1xz = 0 + -3

Reorder the terms:
3 + -3 + 2x + -1xz = 0 + -3

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

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