5x+34=14x-38

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Solution for 5x+34=14x-38 equation:


Simplifying
5x + 34 = 14x + -38

Reorder the terms:
34 + 5x = 14x + -38

Reorder the terms:
34 + 5x = -38 + 14x

Solving
34 + 5x = -38 + 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 = -38 + 14x + -14x

Combine like terms: 5x + -14x = -9x
34 + -9x = -38 + 14x + -14x

Combine like terms: 14x + -14x = 0
34 + -9x = -38 + 0
34 + -9x = -38

Add '-34' to each side of the equation.
34 + -34 + -9x = -38 + -34

Combine like terms: 34 + -34 = 0
0 + -9x = -38 + -34
-9x = -38 + -34

Combine like terms: -38 + -34 = -72
-9x = -72

Divide each side by '-9'.
x = 8

Simplifying
x = 8

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