2x-14=7x+1

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Solution for 2x-14=7x+1 equation:


Simplifying
2x + -14 = 7x + 1

Reorder the terms:
-14 + 2x = 7x + 1

Reorder the terms:
-14 + 2x = 1 + 7x

Solving
-14 + 2x = 1 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-14 + 2x + -7x = 1 + 7x + -7x

Combine like terms: 2x + -7x = -5x
-14 + -5x = 1 + 7x + -7x

Combine like terms: 7x + -7x = 0
-14 + -5x = 1 + 0
-14 + -5x = 1

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

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

Combine like terms: 1 + 14 = 15
-5x = 15

Divide each side by '-5'.
x = -3

Simplifying
x = -3

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