-5(-3u+5)-u=6(u-3)-5

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Solution for -5(-3u+5)-u=6(u-3)-5 equation:


Simplifying
-5(-3u + 5) + -1u = 6(u + -3) + -5

Reorder the terms:
-5(5 + -3u) + -1u = 6(u + -3) + -5
(5 * -5 + -3u * -5) + -1u = 6(u + -3) + -5
(-25 + 15u) + -1u = 6(u + -3) + -5

Combine like terms: 15u + -1u = 14u
-25 + 14u = 6(u + -3) + -5

Reorder the terms:
-25 + 14u = 6(-3 + u) + -5
-25 + 14u = (-3 * 6 + u * 6) + -5
-25 + 14u = (-18 + 6u) + -5

Reorder the terms:
-25 + 14u = -18 + -5 + 6u

Combine like terms: -18 + -5 = -23
-25 + 14u = -23 + 6u

Solving
-25 + 14u = -23 + 6u

Solving for variable 'u'.

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

Add '-6u' to each side of the equation.
-25 + 14u + -6u = -23 + 6u + -6u

Combine like terms: 14u + -6u = 8u
-25 + 8u = -23 + 6u + -6u

Combine like terms: 6u + -6u = 0
-25 + 8u = -23 + 0
-25 + 8u = -23

Add '25' to each side of the equation.
-25 + 25 + 8u = -23 + 25

Combine like terms: -25 + 25 = 0
0 + 8u = -23 + 25
8u = -23 + 25

Combine like terms: -23 + 25 = 2
8u = 2

Divide each side by '8'.
u = 0.25

Simplifying
u = 0.25

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