2(2x+3)=2x+16

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Solution for 2(2x+3)=2x+16 equation:


Simplifying
2(2x + 3) = 2x + 16

Reorder the terms:
2(3 + 2x) = 2x + 16
(3 * 2 + 2x * 2) = 2x + 16
(6 + 4x) = 2x + 16

Reorder the terms:
6 + 4x = 16 + 2x

Solving
6 + 4x = 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.
6 + 4x + -2x = 16 + 2x + -2x

Combine like terms: 4x + -2x = 2x
6 + 2x = 16 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 2x = 16 + 0
6 + 2x = 16

Add '-6' to each side of the equation.
6 + -6 + 2x = 16 + -6

Combine like terms: 6 + -6 = 0
0 + 2x = 16 + -6
2x = 16 + -6

Combine like terms: 16 + -6 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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