5x-14=-3x+2

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Solution for 5x-14=-3x+2 equation:


Simplifying
5x + -14 = -3x + 2

Reorder the terms:
-14 + 5x = -3x + 2

Reorder the terms:
-14 + 5x = 2 + -3x

Solving
-14 + 5x = 2 + -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.
-14 + 5x + 3x = 2 + -3x + 3x

Combine like terms: 5x + 3x = 8x
-14 + 8x = 2 + -3x + 3x

Combine like terms: -3x + 3x = 0
-14 + 8x = 2 + 0
-14 + 8x = 2

Add '14' to each side of the equation.
-14 + 14 + 8x = 2 + 14

Combine like terms: -14 + 14 = 0
0 + 8x = 2 + 14
8x = 2 + 14

Combine like terms: 2 + 14 = 16
8x = 16

Divide each side by '8'.
x = 2

Simplifying
x = 2

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