2u+46=8(u+2)

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Solution for 2u+46=8(u+2) equation:


Simplifying
2u + 46 = 8(u + 2)

Reorder the terms:
46 + 2u = 8(u + 2)

Reorder the terms:
46 + 2u = 8(2 + u)
46 + 2u = (2 * 8 + u * 8)
46 + 2u = (16 + 8u)

Solving
46 + 2u = 16 + 8u

Solving for variable 'u'.

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

Add '-8u' to each side of the equation.
46 + 2u + -8u = 16 + 8u + -8u

Combine like terms: 2u + -8u = -6u
46 + -6u = 16 + 8u + -8u

Combine like terms: 8u + -8u = 0
46 + -6u = 16 + 0
46 + -6u = 16

Add '-46' to each side of the equation.
46 + -46 + -6u = 16 + -46

Combine like terms: 46 + -46 = 0
0 + -6u = 16 + -46
-6u = 16 + -46

Combine like terms: 16 + -46 = -30
-6u = -30

Divide each side by '-6'.
u = 5

Simplifying
u = 5

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