2(x+8)=4(x+5)+1

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Solution for 2(x+8)=4(x+5)+1 equation: 


Simplifying
2(x + 8) = 4(x + 5) + 1

Reorder the terms:
2(8 + x) = 4(x + 5) + 1
(8 * 2 + x * 2) = 4(x + 5) + 1
(16 + 2x) = 4(x + 5) + 1

Reorder the terms:
16 + 2x = 4(5 + x) + 1
16 + 2x = (5 * 4 + x * 4) + 1
16 + 2x = (20 + 4x) + 1

Reorder the terms:
16 + 2x = 20 + 1 + 4x

Combine like terms: 20 + 1 = 21
16 + 2x = 21 + 4x

Solving
16 + 2x = 21 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
16 + 2x + -4x = 21 + 4x + -4x

Combine like terms: 2x + -4x = -2x
16 + -2x = 21 + 4x + -4x

Combine like terms: 4x + -4x = 0
16 + -2x = 21 + 0
16 + -2x = 21

Add '-16' to each side of the equation.
16 + -16 + -2x = 21 + -16

Combine like terms: 16 + -16 = 0
0 + -2x = 21 + -16
-2x = 21 + -16

Combine like terms: 21 + -16 = 5
-2x = 5

Divide each side by '-2'.
x = -2.5

Simplifying
x = -2.5

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