3(4-2u)-2(u-3)=10

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Solution for 3(4-2u)-2(u-3)=10 equation: 


Simplifying
3(4 + -2u) + -2(u + -3) = 10
(4 * 3 + -2u * 3) + -2(u + -3) = 10
(12 + -6u) + -2(u + -3) = 10

Reorder the terms:
12 + -6u + -2(-3 + u) = 10
12 + -6u + (-3 * -2 + u * -2) = 10
12 + -6u + (6 + -2u) = 10

Reorder the terms:
12 + 6 + -6u + -2u = 10

Combine like terms: 12 + 6 = 18
18 + -6u + -2u = 10

Combine like terms: -6u + -2u = -8u
18 + -8u = 10

Solving
18 + -8u = 10

Solving for variable 'u'.

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

Add '-18' to each side of the equation.
18 + -18 + -8u = 10 + -18

Combine like terms: 18 + -18 = 0
0 + -8u = 10 + -18
-8u = 10 + -18

Combine like terms: 10 + -18 = -8
-8u = -8

Divide each side by '-8'.
u = 1

Simplifying
u = 1

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