(4+x)-7=(7xy)-3

Solution for (4+x)-7=(7xy)-3 equation:

Simplifying
(4 + x) + -7 = (7xy) + -3

Remove parenthesis around (4 + x)
4 + x + -7 = (7xy) + -3

Reorder the terms:
4 + -7 + x = (7xy) + -3

Combine like terms: 4 + -7 = -3
-3 + x = (7xy) + -3

Reorder the terms:
-3 + x = -3 + (7xy)

Add '3' to each side of the equation.
-3 + 3 + x = -3 + 3 + (7xy)

Combine like terms: -3 + 3 = 0
0 + x = -3 + 3 + (7xy)
x = -3 + 3 + (7xy)

Combine like terms: -3 + 3 = 0
x = 0 + (7xy)
x = (7xy)

Solving
x = (7xy)

Solving for variable 'x'.

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

Add '(-7xy)' to each side of the equation.
x + (-7xy) = (7xy) + (-7xy)

Combine like terms: (7xy) + (-7xy) = 0
x + (-7xy) = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(1 + (-7y)) = 0

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(1 + (-7y))' equal to zero and attempt to solve:

Simplifying
1 + (-7y) = 0

Solving
1 + (-7y) = 0

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

Add '-1' to each side of the equation.
1 + -1 + (-7y) = 0 + -1

Combine like terms: 1 + -1 = 0
0 + (-7y) = 0 + -1
(-7y) = 0 + -1

Combine like terms: 0 + -1 = -1
(-7y) = -1

Add '(7y)' to each side of the equation.
(-7y) + (7y) = -1 + (7y)

Combine like terms: (-7y) + (7y) = 0
0 = -1 + (7y)

Simplifying
0 = -1 + (7y)

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}