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

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

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

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

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

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

Combine like terms: 4 + 6 = 10
-6 + 2u = 10 + 4u + 4u

Combine like terms: 4u + 4u = 8u
-6 + 2u = 10 + 8u

Solving
-6 + 2u = 10 + 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.
-6 + 2u + -8u = 10 + 8u + -8u

Combine like terms: 2u + -8u = -6u
-6 + -6u = 10 + 8u + -8u

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

Add '6' to each side of the equation.
-6 + 6 + -6u = 10 + 6

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

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

Divide each side by '-6'.
u = -2.666666667

Simplifying
u = -2.666666667