6x-38=3x-16

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Solution for 6x-38=3x-16 equation:


Simplifying
6x + -38 = 3x + -16

Reorder the terms:
-38 + 6x = 3x + -16

Reorder the terms:
-38 + 6x = -16 + 3x

Solving
-38 + 6x = -16 + 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.
-38 + 6x + -3x = -16 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-38 + 3x = -16 + 3x + -3x

Combine like terms: 3x + -3x = 0
-38 + 3x = -16 + 0
-38 + 3x = -16

Add '38' to each side of the equation.
-38 + 38 + 3x = -16 + 38

Combine like terms: -38 + 38 = 0
0 + 3x = -16 + 38
3x = -16 + 38

Combine like terms: -16 + 38 = 22
3x = 22

Divide each side by '3'.
x = 7.333333333

Simplifying
x = 7.333333333

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