2(x+8)=5(x+11)

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Solution for 2(x+8)=5(x+11) equation: 


Simplifying
2(x + 8) = 5(x + 11)

Reorder the terms:
2(8 + x) = 5(x + 11)
(8 * 2 + x * 2) = 5(x + 11)
(16 + 2x) = 5(x + 11)

Reorder the terms:
16 + 2x = 5(11 + x)
16 + 2x = (11 * 5 + x * 5)
16 + 2x = (55 + 5x)

Solving
16 + 2x = 55 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
16 + 2x + -5x = 55 + 5x + -5x

Combine like terms: 2x + -5x = -3x
16 + -3x = 55 + 5x + -5x

Combine like terms: 5x + -5x = 0
16 + -3x = 55 + 0
16 + -3x = 55

Add '-16' to each side of the equation.
16 + -16 + -3x = 55 + -16

Combine like terms: 16 + -16 = 0
0 + -3x = 55 + -16
-3x = 55 + -16

Combine like terms: 55 + -16 = 39
-3x = 39

Divide each side by '-3'.
x = -13

Simplifying
x = -13

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