6+3(2u-5)=-2(7u-3)+2u

Solution for 6+3(2u-5)=-2(7u-3)+2u equation:

Simplifying
6 + 3(2u + -5) = -2(7u + -3) + 2u

Reorder the terms:
6 + 3(-5 + 2u) = -2(7u + -3) + 2u
6 + (-5 * 3 + 2u * 3) = -2(7u + -3) + 2u
6 + (-15 + 6u) = -2(7u + -3) + 2u

Combine like terms: 6 + -15 = -9
-9 + 6u = -2(7u + -3) + 2u

Reorder the terms:
-9 + 6u = -2(-3 + 7u) + 2u
-9 + 6u = (-3 * -2 + 7u * -2) + 2u
-9 + 6u = (6 + -14u) + 2u

Combine like terms: -14u + 2u = -12u
-9 + 6u = 6 + -12u

Solving
-9 + 6u = 6 + -12u

Solving for variable 'u'.

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

Add '12u' to each side of the equation.
-9 + 6u + 12u = 6 + -12u + 12u

Combine like terms: 6u + 12u = 18u
-9 + 18u = 6 + -12u + 12u

Combine like terms: -12u + 12u = 0
-9 + 18u = 6 + 0
-9 + 18u = 6

Add '9' to each side of the equation.
-9 + 9 + 18u = 6 + 9

Combine like terms: -9 + 9 = 0
0 + 18u = 6 + 9
18u = 6 + 9

Combine like terms: 6 + 9 = 15
18u = 15

Divide each side by '18'.
u = 0.8333333333

Simplifying
u = 0.8333333333