7x=2x+35forx

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Solution for 7x=2x+35forx equation: 


Simplifying
7x = 2x + 35forx

Reorder the terms:
7x = 35forx + 2x

Solving
7x = 35forx + 2x

Solving for variable 'x'.

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

Add '-35forx' to each side of the equation.
-35forx + 7x = 35forx + -35forx + 2x

Combine like terms: 35forx + -35forx = 0
-35forx + 7x = 0 + 2x
-35forx + 7x = 2x

Add '-2x' to each side of the equation.
-35forx + 7x + -2x = 2x + -2x

Combine like terms: 7x + -2x = 5x
-35forx + 5x = 2x + -2x

Combine like terms: 2x + -2x = 0
-35forx + 5x = 0

Factor out the Greatest Common Factor (GCF), '5x'.
5x(-7for + 1) = 0

Ignore the factor 5.

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 '(-7for + 1)' equal to zero and attempt to solve:

Simplifying
-7for + 1 = 0

Reorder the terms:
1 + -7for = 0

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

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

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

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

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

Simplifying
0 = -1 + 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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