7x-5=-14x+1

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Solution for 7x-5=-14x+1 equation:


Simplifying
7x + -5 = -14x + 1

Reorder the terms:
-5 + 7x = -14x + 1

Reorder the terms:
-5 + 7x = 1 + -14x

Solving
-5 + 7x = 1 + -14x

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
-5 + 7x + 14x = 1 + -14x + 14x

Combine like terms: 7x + 14x = 21x
-5 + 21x = 1 + -14x + 14x

Combine like terms: -14x + 14x = 0
-5 + 21x = 1 + 0
-5 + 21x = 1

Add '5' to each side of the equation.
-5 + 5 + 21x = 1 + 5

Combine like terms: -5 + 5 = 0
0 + 21x = 1 + 5
21x = 1 + 5

Combine like terms: 1 + 5 = 6
21x = 6

Divide each side by '21'.
x = 0.2857142857

Simplifying
x = 0.2857142857

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