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

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


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

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

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

Solving
-3 + -2u = -15 + -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.
-3 + -2u + 5u = -15 + -5u + 5u

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

Combine like terms: -5u + 5u = 0
-3 + 3u = -15 + 0
-3 + 3u = -15

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

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

Combine like terms: -15 + 3 = -12
3u = -12

Divide each side by '3'.
u = -4

Simplifying
u = -4

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