2(2x+1)+8=2(x+13)

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Solution for 2(2x+1)+8=2(x+13) equation: 


Simplifying
2(2x + 1) + 8 = 2(x + 13)

Reorder the terms:
2(1 + 2x) + 8 = 2(x + 13)
(1 * 2 + 2x * 2) + 8 = 2(x + 13)
(2 + 4x) + 8 = 2(x + 13)

Reorder the terms:
2 + 8 + 4x = 2(x + 13)

Combine like terms: 2 + 8 = 10
10 + 4x = 2(x + 13)

Reorder the terms:
10 + 4x = 2(13 + x)
10 + 4x = (13 * 2 + x * 2)
10 + 4x = (26 + 2x)

Solving
10 + 4x = 26 + 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.
10 + 4x + -2x = 26 + 2x + -2x

Combine like terms: 4x + -2x = 2x
10 + 2x = 26 + 2x + -2x

Combine like terms: 2x + -2x = 0
10 + 2x = 26 + 0
10 + 2x = 26

Add '-10' to each side of the equation.
10 + -10 + 2x = 26 + -10

Combine like terms: 10 + -10 = 0
0 + 2x = 26 + -10
2x = 26 + -10

Combine like terms: 26 + -10 = 16
2x = 16

Divide each side by '2'.
x = 8

Simplifying
x = 8

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