x-2=-3x+14

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


Simplifying
x + -2 = -3x + 14

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

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

Solving
-2 + x = 14 + -3x

Solving for variable 'x'.

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

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

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

Combine like terms: -3x + 3x = 0
-2 + 4x = 14 + 0
-2 + 4x = 14

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

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

Combine like terms: 14 + 2 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4

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