2x=ax+7forx

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Solution for 2x=ax+7forx equation: 


Simplifying
2x = ax + 7forx

Solving
2x = ax + 7forx

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.
-1ax + 2x = ax + -1ax + 7forx

Combine like terms: ax + -1ax = 0
-1ax + 2x = 0 + 7forx
-1ax + 2x = 7forx

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

Combine like terms: 7forx + -7forx = 0
-1ax + -7forx + 2x = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1a + -7for + 2) = 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 '(-1a + -7for + 2)' equal to zero and attempt to solve:

Simplifying
-1a + -7for + 2 = 0

Reorder the terms:
2 + -1a + -7for = 0

Solving
2 + -1a + -7for = 0

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

Add '-2' to each side of the equation.
2 + -1a + -2 + -7for = 0 + -2

Reorder the terms:
2 + -2 + -1a + -7for = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1a + -7for = 0 + -2
-1a + -7for = 0 + -2

Combine like terms: 0 + -2 = -2
-1a + -7for = -2

Add 'a' to each side of the equation.
-1a + a + -7for = -2 + a

Combine like terms: -1a + a = 0
0 + -7for = -2 + a
-7for = -2 + a

Add '7for' to each side of the equation.
-7for + 7for = -2 + a + 7for

Combine like terms: -7for + 7for = 0
0 = -2 + a + 7for

Simplifying
0 = -2 + a + 7for

The solution to this equation could not be determined.

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

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