6x+14=-7x-20

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Solution for 6x+14=-7x-20 equation:


Simplifying
6x + 14 = -7x + -20

Reorder the terms:
14 + 6x = -7x + -20

Reorder the terms:
14 + 6x = -20 + -7x

Solving
14 + 6x = -20 + -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 + 6x + 7x = -20 + -7x + 7x

Combine like terms: 6x + 7x = 13x
14 + 13x = -20 + -7x + 7x

Combine like terms: -7x + 7x = 0
14 + 13x = -20 + 0
14 + 13x = -20

Add '-14' to each side of the equation.
14 + -14 + 13x = -20 + -14

Combine like terms: 14 + -14 = 0
0 + 13x = -20 + -14
13x = -20 + -14

Combine like terms: -20 + -14 = -34
13x = -34

Divide each side by '13'.
x = -2.615384615

Simplifying
x = -2.615384615

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