x+5x-2=-x-12

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Solution for x+5x-2=-x-12 equation:


Simplifying
x + 5x + -2 = -1x + -12

Reorder the terms:
-2 + x + 5x = -1x + -12

Combine like terms: x + 5x = 6x
-2 + 6x = -1x + -12

Reorder the terms:
-2 + 6x = -12 + -1x

Solving
-2 + 6x = -12 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-2 + 6x + x = -12 + -1x + x

Combine like terms: 6x + x = 7x
-2 + 7x = -12 + -1x + x

Combine like terms: -1x + x = 0
-2 + 7x = -12 + 0
-2 + 7x = -12

Add '2' to each side of the equation.
-2 + 2 + 7x = -12 + 2

Combine like terms: -2 + 2 = 0
0 + 7x = -12 + 2
7x = -12 + 2

Combine like terms: -12 + 2 = -10
7x = -10

Divide each side by '7'.
x = -1.428571429

Simplifying
x = -1.428571429

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