6x-16=3x+32

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Solution for 6x-16=3x+32 equation:


Simplifying
6x + -16 = 3x + 32

Reorder the terms:
-16 + 6x = 3x + 32

Reorder the terms:
-16 + 6x = 32 + 3x

Solving
-16 + 6x = 32 + 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.
-16 + 6x + -3x = 32 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-16 + 3x = 32 + 3x + -3x

Combine like terms: 3x + -3x = 0
-16 + 3x = 32 + 0
-16 + 3x = 32

Add '16' to each side of the equation.
-16 + 16 + 3x = 32 + 16

Combine like terms: -16 + 16 = 0
0 + 3x = 32 + 16
3x = 32 + 16

Combine like terms: 32 + 16 = 48
3x = 48

Divide each side by '3'.
x = 16

Simplifying
x = 16

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