2(1[u-2]1)=5u+11

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Solution for 2(1[u-2]1)=5u+11 equation: 


Simplifying
2(1[u + -2] * 1) = 5u + 11

Reorder the terms:
2(1[-2 + u] * 1) = 5u + 11

Reorder the terms for easier multiplication:
2(1 * 1[-2 + u]) = 5u + 11

Multiply 1 * 1
2(1[-2 + u]) = 5u + 11
2([-2 * 1 + u * 1]) = 5u + 11
2([-2 + 1u]) = 5u + 11
(-2 * 2 + 1u * 2) = 5u + 11
(-4 + 2u) = 5u + 11

Reorder the terms:
-4 + 2u = 11 + 5u

Solving
-4 + 2u = 11 + 5u

Solving for variable 'u'.

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

Add '-5u' to each side of the equation.
-4 + 2u + -5u = 11 + 5u + -5u

Combine like terms: 2u + -5u = -3u
-4 + -3u = 11 + 5u + -5u

Combine like terms: 5u + -5u = 0
-4 + -3u = 11 + 0
-4 + -3u = 11

Add '4' to each side of the equation.
-4 + 4 + -3u = 11 + 4

Combine like terms: -4 + 4 = 0
0 + -3u = 11 + 4
-3u = 11 + 4

Combine like terms: 11 + 4 = 15
-3u = 15

Divide each side by '-3'.
u = -5

Simplifying
u = -5

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