-2(u+3)=5u+43

Solution for -2(u+3)=5u+43 equation:

Simplifying
-2(u + 3) = 5u + 43

Reorder the terms:
-2(3 + u) = 5u + 43
(3 * -2 + u * -2) = 5u + 43
(-6 + -2u) = 5u + 43

Reorder the terms:
-6 + -2u = 43 + 5u

Solving
-6 + -2u = 43 + 5u

Solving for variable 'u'.

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

Add '-5u' to each side of the equation.
-6 + -2u + -5u = 43 + 5u + -5u

Combine like terms: -2u + -5u = -7u
-6 + -7u = 43 + 5u + -5u

Combine like terms: 5u + -5u = 0
-6 + -7u = 43 + 0
-6 + -7u = 43

Add '6' to each side of the equation.
-6 + 6 + -7u = 43 + 6

Combine like terms: -6 + 6 = 0
0 + -7u = 43 + 6
-7u = 43 + 6

Combine like terms: 43 + 6 = 49
-7u = 49

Divide each side by '-7'.
u = -7

Simplifying
u = -7