4-(u+3)=1+(2u-12)

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Solution for 4-(u+3)=1+(2u-12) equation:


Simplifying
4 + -1(u + 3) = 1 + (2u + -12)

Reorder the terms:
4 + -1(3 + u) = 1 + (2u + -12)
4 + (3 * -1 + u * -1) = 1 + (2u + -12)
4 + (-3 + -1u) = 1 + (2u + -12)

Combine like terms: 4 + -3 = 1
1 + -1u = 1 + (2u + -12)

Reorder the terms:
1 + -1u = 1 + (-12 + 2u)

Remove parenthesis around (-12 + 2u)
1 + -1u = 1 + -12 + 2u

Combine like terms: 1 + -12 = -11
1 + -1u = -11 + 2u

Solving
1 + -1u = -11 + 2u

Solving for variable 'u'.

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

Add '-2u' to each side of the equation.
1 + -1u + -2u = -11 + 2u + -2u

Combine like terms: -1u + -2u = -3u
1 + -3u = -11 + 2u + -2u

Combine like terms: 2u + -2u = 0
1 + -3u = -11 + 0
1 + -3u = -11

Add '-1' to each side of the equation.
1 + -1 + -3u = -11 + -1

Combine like terms: 1 + -1 = 0
0 + -3u = -11 + -1
-3u = -11 + -1

Combine like terms: -11 + -1 = -12
-3u = -12

Divide each side by '-3'.
u = 4

Simplifying
u = 4

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