4u-1=5(2-u)-2

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Solution for 4u-1=5(2-u)-2 equation: 


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

Reorder the terms:
-1 + 4u = 5(2 + -1u) + -2
-1 + 4u = (2 * 5 + -1u * 5) + -2
-1 + 4u = (10 + -5u) + -2

Reorder the terms:
-1 + 4u = 10 + -2 + -5u

Combine like terms: 10 + -2 = 8
-1 + 4u = 8 + -5u

Solving
-1 + 4u = 8 + -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.
-1 + 4u + 5u = 8 + -5u + 5u

Combine like terms: 4u + 5u = 9u
-1 + 9u = 8 + -5u + 5u

Combine like terms: -5u + 5u = 0
-1 + 9u = 8 + 0
-1 + 9u = 8

Add '1' to each side of the equation.
-1 + 1 + 9u = 8 + 1

Combine like terms: -1 + 1 = 0
0 + 9u = 8 + 1
9u = 8 + 1

Combine like terms: 8 + 1 = 9
9u = 9

Divide each side by '9'.
u = 1

Simplifying
u = 1

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