2(u-1)-3u=(u-6)

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Solution for 2(u-1)-3u=(u-6) equation:


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

Reorder the terms:
2(-1 + u) + -3u = (u + -6)
(-1 * 2 + u * 2) + -3u = (u + -6)
(-2 + 2u) + -3u = (u + -6)

Combine like terms: 2u + -3u = -1u
-2 + -1u = (u + -6)

Reorder the terms:
-2 + -1u = (-6 + u)

Remove parenthesis around (-6 + u)
-2 + -1u = -6 + u

Solving
-2 + -1u = -6 + u

Solving for variable 'u'.

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

Add '-1u' to each side of the equation.
-2 + -1u + -1u = -6 + u + -1u

Combine like terms: -1u + -1u = -2u
-2 + -2u = -6 + u + -1u

Combine like terms: u + -1u = 0
-2 + -2u = -6 + 0
-2 + -2u = -6

Add '2' to each side of the equation.
-2 + 2 + -2u = -6 + 2

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

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

Divide each side by '-2'.
u = 2

Simplifying
u = 2

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