-4(3u-9)+8u=6(u+8)

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Solution for -4(3u-9)+8u=6(u+8) equation: 


Simplifying
-4(3u + -9) + 8u = 6(u + 8)

Reorder the terms:
-4(-9 + 3u) + 8u = 6(u + 8)
(-9 * -4 + 3u * -4) + 8u = 6(u + 8)
(36 + -12u) + 8u = 6(u + 8)

Combine like terms: -12u + 8u = -4u
36 + -4u = 6(u + 8)

Reorder the terms:
36 + -4u = 6(8 + u)
36 + -4u = (8 * 6 + u * 6)
36 + -4u = (48 + 6u)

Solving
36 + -4u = 48 + 6u

Solving for variable 'u'.

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

Add '-6u' to each side of the equation.
36 + -4u + -6u = 48 + 6u + -6u

Combine like terms: -4u + -6u = -10u
36 + -10u = 48 + 6u + -6u

Combine like terms: 6u + -6u = 0
36 + -10u = 48 + 0
36 + -10u = 48

Add '-36' to each side of the equation.
36 + -36 + -10u = 48 + -36

Combine like terms: 36 + -36 = 0
0 + -10u = 48 + -36
-10u = 48 + -36

Combine like terms: 48 + -36 = 12
-10u = 12

Divide each side by '-10'.
u = -1.2

Simplifying
u = -1.2

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