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

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


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

Reorder the terms:
-4(2 + u) = ((3)(2u + 4)) + 4
(2 * -4 + u * -4) = ((3)(2u + 4)) + 4
(-8 + -4u) = ((3)(2u + 4)) + 4

Reorder the terms:
-8 + -4u = (3(4 + 2u)) + 4
-8 + -4u = ((4 * 3 + 2u * 3)) + 4
-8 + -4u = ((12 + 6u)) + 4
-8 + -4u = (12 + 6u) + 4

Remove parenthesis around (12 + 6u)
-8 + -4u = 12 + 6u + 4

Reorder the terms:
-8 + -4u = 12 + 4 + 6u

Combine like terms: 12 + 4 = 16
-8 + -4u = 16 + 6u

Solving
-8 + -4u = 16 + 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.
-8 + -4u + -6u = 16 + 6u + -6u

Combine like terms: -4u + -6u = -10u
-8 + -10u = 16 + 6u + -6u

Combine like terms: 6u + -6u = 0
-8 + -10u = 16 + 0
-8 + -10u = 16

Add '8' to each side of the equation.
-8 + 8 + -10u = 16 + 8

Combine like terms: -8 + 8 = 0
0 + -10u = 16 + 8
-10u = 16 + 8

Combine like terms: 16 + 8 = 24
-10u = 24

Divide each side by '-10'.
u = -2.4

Simplifying
u = -2.4

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