4(u+1)+u=8(u+1)+6

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Solution for 4(u+1)+u=8(u+1)+6 equation:


Simplifying
4(u + 1) + u = 8(u + 1) + 6

Reorder the terms:
4(1 + u) + u = 8(u + 1) + 6
(1 * 4 + u * 4) + u = 8(u + 1) + 6
(4 + 4u) + u = 8(u + 1) + 6

Combine like terms: 4u + u = 5u
4 + 5u = 8(u + 1) + 6

Reorder the terms:
4 + 5u = 8(1 + u) + 6
4 + 5u = (1 * 8 + u * 8) + 6
4 + 5u = (8 + 8u) + 6

Reorder the terms:
4 + 5u = 8 + 6 + 8u

Combine like terms: 8 + 6 = 14
4 + 5u = 14 + 8u

Solving
4 + 5u = 14 + 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.
4 + 5u + -8u = 14 + 8u + -8u

Combine like terms: 5u + -8u = -3u
4 + -3u = 14 + 8u + -8u

Combine like terms: 8u + -8u = 0
4 + -3u = 14 + 0
4 + -3u = 14

Add '-4' to each side of the equation.
4 + -4 + -3u = 14 + -4

Combine like terms: 4 + -4 = 0
0 + -3u = 14 + -4
-3u = 14 + -4

Combine like terms: 14 + -4 = 10
-3u = 10

Divide each side by '-3'.
u = -3.333333333

Simplifying
u = -3.333333333

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