3x+2=-4x-14

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Solution for 3x+2=-4x-14 equation:


Simplifying
3x + 2 = -4x + -14

Reorder the terms:
2 + 3x = -4x + -14

Reorder the terms:
2 + 3x = -14 + -4x

Solving
2 + 3x = -14 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
2 + 3x + 4x = -14 + -4x + 4x

Combine like terms: 3x + 4x = 7x
2 + 7x = -14 + -4x + 4x

Combine like terms: -4x + 4x = 0
2 + 7x = -14 + 0
2 + 7x = -14

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

Combine like terms: 2 + -2 = 0
0 + 7x = -14 + -2
7x = -14 + -2

Combine like terms: -14 + -2 = -16
7x = -16

Divide each side by '7'.
x = -2.285714286

Simplifying
x = -2.285714286

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