6x+38=14x-58

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Solution for 6x+38=14x-58 equation:


Simplifying
6x + 38 = 14x + -58

Reorder the terms:
38 + 6x = 14x + -58

Reorder the terms:
38 + 6x = -58 + 14x

Solving
38 + 6x = -58 + 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.
38 + 6x + -14x = -58 + 14x + -14x

Combine like terms: 6x + -14x = -8x
38 + -8x = -58 + 14x + -14x

Combine like terms: 14x + -14x = 0
38 + -8x = -58 + 0
38 + -8x = -58

Add '-38' to each side of the equation.
38 + -38 + -8x = -58 + -38

Combine like terms: 38 + -38 = 0
0 + -8x = -58 + -38
-8x = -58 + -38

Combine like terms: -58 + -38 = -96
-8x = -96

Divide each side by '-8'.
x = 12

Simplifying
x = 12

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