2u+3=4u-6

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Solution for 2u+3=4u-6 equation:


Simplifying
2u + 3 = 4u + -6

Reorder the terms:
3 + 2u = 4u + -6

Reorder the terms:
3 + 2u = -6 + 4u

Solving
3 + 2u = -6 + 4u

Solving for variable 'u'.

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

Add '-4u' to each side of the equation.
3 + 2u + -4u = -6 + 4u + -4u

Combine like terms: 2u + -4u = -2u
3 + -2u = -6 + 4u + -4u

Combine like terms: 4u + -4u = 0
3 + -2u = -6 + 0
3 + -2u = -6

Add '-3' to each side of the equation.
3 + -3 + -2u = -6 + -3

Combine like terms: 3 + -3 = 0
0 + -2u = -6 + -3
-2u = -6 + -3

Combine like terms: -6 + -3 = -9
-2u = -9

Divide each side by '-2'.
u = 4.5

Simplifying
u = 4.5

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