-5(u-4)+2=11-(u-3)

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Solution for -5(u-4)+2=11-(u-3) equation: 


Simplifying
-5(u + -4) + 2 = 11 + -1(u + -3)

Reorder the terms:
-5(-4 + u) + 2 = 11 + -1(u + -3)
(-4 * -5 + u * -5) + 2 = 11 + -1(u + -3)
(20 + -5u) + 2 = 11 + -1(u + -3)

Reorder the terms:
20 + 2 + -5u = 11 + -1(u + -3)

Combine like terms: 20 + 2 = 22
22 + -5u = 11 + -1(u + -3)

Reorder the terms:
22 + -5u = 11 + -1(-3 + u)
22 + -5u = 11 + (-3 * -1 + u * -1)
22 + -5u = 11 + (3 + -1u)

Combine like terms: 11 + 3 = 14
22 + -5u = 14 + -1u

Solving
22 + -5u = 14 + -1u

Solving for variable 'u'.

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

Add 'u' to each side of the equation.
22 + -5u + u = 14 + -1u + u

Combine like terms: -5u + u = -4u
22 + -4u = 14 + -1u + u

Combine like terms: -1u + u = 0
22 + -4u = 14 + 0
22 + -4u = 14

Add '-22' to each side of the equation.
22 + -22 + -4u = 14 + -22

Combine like terms: 22 + -22 = 0
0 + -4u = 14 + -22
-4u = 14 + -22

Combine like terms: 14 + -22 = -8
-4u = -8

Divide each side by '-4'.
u = 2

Simplifying
u = 2

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