4x+2=-x-8

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Solution for 4x+2=-x-8 equation:


Simplifying
4x + 2 = -1x + -8

Reorder the terms:
2 + 4x = -1x + -8

Reorder the terms:
2 + 4x = -8 + -1x

Solving
2 + 4x = -8 + -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 + 4x + x = -8 + -1x + x

Combine like terms: 4x + x = 5x
2 + 5x = -8 + -1x + x

Combine like terms: -1x + x = 0
2 + 5x = -8 + 0
2 + 5x = -8

Add '-2' to each side of the equation.
2 + -2 + 5x = -8 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = -8 + -2
5x = -8 + -2

Combine like terms: -8 + -2 = -10
5x = -10

Divide each side by '5'.
x = -2

Simplifying
x = -2

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