8x+14=5x-47

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Solution for 8x+14=5x-47 equation:


Simplifying
8x + 14 = 5x + -47

Reorder the terms:
14 + 8x = 5x + -47

Reorder the terms:
14 + 8x = -47 + 5x

Solving
14 + 8x = -47 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
14 + 8x + -5x = -47 + 5x + -5x

Combine like terms: 8x + -5x = 3x
14 + 3x = -47 + 5x + -5x

Combine like terms: 5x + -5x = 0
14 + 3x = -47 + 0
14 + 3x = -47

Add '-14' to each side of the equation.
14 + -14 + 3x = -47 + -14

Combine like terms: 14 + -14 = 0
0 + 3x = -47 + -14
3x = -47 + -14

Combine like terms: -47 + -14 = -61
3x = -61

Divide each side by '3'.
x = -20.33333333

Simplifying
x = -20.33333333

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