2(5x-2)=16-2x

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Solution for 2(5x-2)=16-2x equation:


Simplifying
2(5x + -2) = 16 + -2x

Reorder the terms:
2(-2 + 5x) = 16 + -2x
(-2 * 2 + 5x * 2) = 16 + -2x
(-4 + 10x) = 16 + -2x

Solving
-4 + 10x = 16 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-4 + 10x + 2x = 16 + -2x + 2x

Combine like terms: 10x + 2x = 12x
-4 + 12x = 16 + -2x + 2x

Combine like terms: -2x + 2x = 0
-4 + 12x = 16 + 0
-4 + 12x = 16

Add '4' to each side of the equation.
-4 + 4 + 12x = 16 + 4

Combine like terms: -4 + 4 = 0
0 + 12x = 16 + 4
12x = 16 + 4

Combine like terms: 16 + 4 = 20
12x = 20

Divide each side by '12'.
x = 1.666666667

Simplifying
x = 1.666666667

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