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 = -12
8x = -12

Divide each side by '8'.
x = -1.5

Simplifying
x = -1.5

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