5(u-3)=5u+1-2(-2u-1)

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Solution for 5(u-3)=5u+1-2(-2u-1) equation:


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

Reorder the terms:
5(-3 + u) = 5u + 1 + -2(-2u + -1)
(-3 * 5 + u * 5) = 5u + 1 + -2(-2u + -1)
(-15 + 5u) = 5u + 1 + -2(-2u + -1)

Reorder the terms:
-15 + 5u = 5u + 1 + -2(-1 + -2u)
-15 + 5u = 5u + 1 + (-1 * -2 + -2u * -2)
-15 + 5u = 5u + 1 + (2 + 4u)

Reorder the terms:
-15 + 5u = 1 + 2 + 5u + 4u

Combine like terms: 1 + 2 = 3
-15 + 5u = 3 + 5u + 4u

Combine like terms: 5u + 4u = 9u
-15 + 5u = 3 + 9u

Solving
-15 + 5u = 3 + 9u

Solving for variable 'u'.

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

Add '-9u' to each side of the equation.
-15 + 5u + -9u = 3 + 9u + -9u

Combine like terms: 5u + -9u = -4u
-15 + -4u = 3 + 9u + -9u

Combine like terms: 9u + -9u = 0
-15 + -4u = 3 + 0
-15 + -4u = 3

Add '15' to each side of the equation.
-15 + 15 + -4u = 3 + 15

Combine like terms: -15 + 15 = 0
0 + -4u = 3 + 15
-4u = 3 + 15

Combine like terms: 3 + 15 = 18
-4u = 18

Divide each side by '-4'.
u = -4.5

Simplifying
u = -4.5

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