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

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


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

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

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

Solving
-4 + 2u = 10 + -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 = 10 + -5u + 5u

Combine like terms: 2u + 5u = 7u
-4 + 7u = 10 + -5u + 5u

Combine like terms: -5u + 5u = 0
-4 + 7u = 10 + 0
-4 + 7u = 10

Add '4' to each side of the equation.
-4 + 4 + 7u = 10 + 4

Combine like terms: -4 + 4 = 0
0 + 7u = 10 + 4
7u = 10 + 4

Combine like terms: 10 + 4 = 14
7u = 14

Divide each side by '7'.
u = 2

Simplifying
u = 2

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