10x-16=3x+2

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Solution for 10x-16=3x+2 equation:


Simplifying
10x + -16 = 3x + 2

Reorder the terms:
-16 + 10x = 3x + 2

Reorder the terms:
-16 + 10x = 2 + 3x

Solving
-16 + 10x = 2 + 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 + 10x + -3x = 2 + 3x + -3x

Combine like terms: 10x + -3x = 7x
-16 + 7x = 2 + 3x + -3x

Combine like terms: 3x + -3x = 0
-16 + 7x = 2 + 0
-16 + 7x = 2

Add '16' to each side of the equation.
-16 + 16 + 7x = 2 + 16

Combine like terms: -16 + 16 = 0
0 + 7x = 2 + 16
7x = 2 + 16

Combine like terms: 2 + 16 = 18
7x = 18

Divide each side by '7'.
x = 2.571428571

Simplifying
x = 2.571428571

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