7x+6=2x-14

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Solution for 7x+6=2x-14 equation:


Simplifying
7x + 6 = 2x + -14

Reorder the terms:
6 + 7x = 2x + -14

Reorder the terms:
6 + 7x = -14 + 2x

Solving
6 + 7x = -14 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
6 + 7x + -2x = -14 + 2x + -2x

Combine like terms: 7x + -2x = 5x
6 + 5x = -14 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 5x = -14 + 0
6 + 5x = -14

Add '-6' to each side of the equation.
6 + -6 + 5x = -14 + -6

Combine like terms: 6 + -6 = 0
0 + 5x = -14 + -6
5x = -14 + -6

Combine like terms: -14 + -6 = -20
5x = -20

Divide each side by '5'.
x = -4

Simplifying
x = -4

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