2(u-3)=2u+4-2(-6u-3)

Solution for 2(u-3)=2u+4-2(-6u-3) equation:

Simplifying
2(u + -3) = 2u + 4 + -2(-6u + -3)

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

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

Reorder the terms:
-6 + 2u = 4 + 6 + 2u + 12u

Combine like terms: 4 + 6 = 10
-6 + 2u = 10 + 2u + 12u

Combine like terms: 2u + 12u = 14u
-6 + 2u = 10 + 14u

Solving
-6 + 2u = 10 + 14u

Solving for variable 'u'.

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

Add '-14u' to each side of the equation.
-6 + 2u + -14u = 10 + 14u + -14u

Combine like terms: 2u + -14u = -12u
-6 + -12u = 10 + 14u + -14u

Combine like terms: 14u + -14u = 0
-6 + -12u = 10 + 0
-6 + -12u = 10

Add '6' to each side of the equation.
-6 + 6 + -12u = 10 + 6

Combine like terms: -6 + 6 = 0
0 + -12u = 10 + 6
-12u = 10 + 6

Combine like terms: 10 + 6 = 16
-12u = 16

Divide each side by '-12'.
u = -1.333333333

Simplifying
u = -1.333333333