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

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


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

Reorder the terms:
-3(3 + -5u) + -5u = 2(u + -1) + -3
(3 * -3 + -5u * -3) + -5u = 2(u + -1) + -3
(-9 + 15u) + -5u = 2(u + -1) + -3

Combine like terms: 15u + -5u = 10u
-9 + 10u = 2(u + -1) + -3

Reorder the terms:
-9 + 10u = 2(-1 + u) + -3
-9 + 10u = (-1 * 2 + u * 2) + -3
-9 + 10u = (-2 + 2u) + -3

Reorder the terms:
-9 + 10u = -2 + -3 + 2u

Combine like terms: -2 + -3 = -5
-9 + 10u = -5 + 2u

Solving
-9 + 10u = -5 + 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.
-9 + 10u + -2u = -5 + 2u + -2u

Combine like terms: 10u + -2u = 8u
-9 + 8u = -5 + 2u + -2u

Combine like terms: 2u + -2u = 0
-9 + 8u = -5 + 0
-9 + 8u = -5

Add '9' to each side of the equation.
-9 + 9 + 8u = -5 + 9

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

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

Divide each side by '8'.
u = 0.5

Simplifying
u = 0.5

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