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

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


Simplifying
2 + 3u = 4(2 + -1u) + -3u
2 + 3u = (2 * 4 + -1u * 4) + -3u
2 + 3u = (8 + -4u) + -3u

Combine like terms: -4u + -3u = -7u
2 + 3u = 8 + -7u

Solving
2 + 3u = 8 + -7u

Solving for variable 'u'.

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

Add '7u' to each side of the equation.
2 + 3u + 7u = 8 + -7u + 7u

Combine like terms: 3u + 7u = 10u
2 + 10u = 8 + -7u + 7u

Combine like terms: -7u + 7u = 0
2 + 10u = 8 + 0
2 + 10u = 8

Add '-2' to each side of the equation.
2 + -2 + 10u = 8 + -2

Combine like terms: 2 + -2 = 0
0 + 10u = 8 + -2
10u = 8 + -2

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

Divide each side by '10'.
u = 0.6

Simplifying
u = 0.6

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