5(u-1)-(u-2)=10-(2u+1)

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Solution for 5(u-1)-(u-2)=10-(2u+1) equation:


Simplifying
5(u + -1) + -1(u + -2) = 10 + -1(2u + 1)

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

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

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

Combine like terms: -5 + 2 = -3
-3 + 5u + -1u = 10 + -1(2u + 1)

Combine like terms: 5u + -1u = 4u
-3 + 4u = 10 + -1(2u + 1)

Reorder the terms:
-3 + 4u = 10 + -1(1 + 2u)
-3 + 4u = 10 + (1 * -1 + 2u * -1)
-3 + 4u = 10 + (-1 + -2u)

Combine like terms: 10 + -1 = 9
-3 + 4u = 9 + -2u

Solving
-3 + 4u = 9 + -2u

Solving for variable 'u'.

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

Add '2u' to each side of the equation.
-3 + 4u + 2u = 9 + -2u + 2u

Combine like terms: 4u + 2u = 6u
-3 + 6u = 9 + -2u + 2u

Combine like terms: -2u + 2u = 0
-3 + 6u = 9 + 0
-3 + 6u = 9

Add '3' to each side of the equation.
-3 + 3 + 6u = 9 + 3

Combine like terms: -3 + 3 = 0
0 + 6u = 9 + 3
6u = 9 + 3

Combine like terms: 9 + 3 = 12
6u = 12

Divide each side by '6'.
u = 2

Simplifying
u = 2

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