6x-3=16x-38

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


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

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

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

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

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
-3 + 6x + -16x = -38 + 16x + -16x

Combine like terms: 6x + -16x = -10x
-3 + -10x = -38 + 16x + -16x

Combine like terms: 16x + -16x = 0
-3 + -10x = -38 + 0
-3 + -10x = -38

Add '3' to each side of the equation.
-3 + 3 + -10x = -38 + 3

Combine like terms: -3 + 3 = 0
0 + -10x = -38 + 3
-10x = -38 + 3

Combine like terms: -38 + 3 = -35
-10x = -35

Divide each side by '-10'.
x = 3.5

Simplifying
x = 3.5

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