5x+34=14x-47

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Solution for 5x+34=14x-47 equation:


Simplifying
5x + 34 = 14x + -47

Reorder the terms:
34 + 5x = 14x + -47

Reorder the terms:
34 + 5x = -47 + 14x

Solving
34 + 5x = -47 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
34 + 5x + -14x = -47 + 14x + -14x

Combine like terms: 5x + -14x = -9x
34 + -9x = -47 + 14x + -14x

Combine like terms: 14x + -14x = 0
34 + -9x = -47 + 0
34 + -9x = -47

Add '-34' to each side of the equation.
34 + -34 + -9x = -47 + -34

Combine like terms: 34 + -34 = 0
0 + -9x = -47 + -34
-9x = -47 + -34

Combine like terms: -47 + -34 = -81
-9x = -81

Divide each side by '-9'.
x = 9

Simplifying
x = 9

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