16x-6=13x+9

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Solution for 16x-6=13x+9 equation:


Simplifying
16x + -6 = 13x + 9

Reorder the terms:
-6 + 16x = 13x + 9

Reorder the terms:
-6 + 16x = 9 + 13x

Solving
-6 + 16x = 9 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
-6 + 16x + -13x = 9 + 13x + -13x

Combine like terms: 16x + -13x = 3x
-6 + 3x = 9 + 13x + -13x

Combine like terms: 13x + -13x = 0
-6 + 3x = 9 + 0
-6 + 3x = 9

Add '6' to each side of the equation.
-6 + 6 + 3x = 9 + 6

Combine like terms: -6 + 6 = 0
0 + 3x = 9 + 6
3x = 9 + 6

Combine like terms: 9 + 6 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5

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