2(3U+2)-3(4UTS)=5(v-6)+w

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Solution for 2(3U+2)-3(4UTS)=5(v-6)+w equation: 


Simplifying
2(3U + 2) + -3(4UTS) = 5(v + -6) + w

Reorder the terms:
2(2 + 3U) + -3(4UTS) = 5(v + -6) + w
(2 * 2 + 3U * 2) + -3(4UTS) = 5(v + -6) + w
(4 + 6U) + -3(4UTS) = 5(v + -6) + w

Remove parenthesis around (4STU)
4 + 6U + -3 * 4STU = 5(v + -6) + w

Multiply -3 * 4
4 + 6U + -12STU = 5(v + -6) + w

Reorder the terms:
4 + -12STU + 6U = 5(v + -6) + w

Reorder the terms:
4 + -12STU + 6U = 5(-6 + v) + w
4 + -12STU + 6U = (-6 * 5 + v * 5) + w
4 + -12STU + 6U = (-30 + 5v) + w

Solving
4 + -12STU + 6U = -30 + 5v + w

Solving for variable 'S'.

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

Add '-4' to each side of the equation.
4 + -12STU + -4 + 6U = -30 + 5v + -4 + w

Reorder the terms:
4 + -4 + -12STU + 6U = -30 + 5v + -4 + w

Combine like terms: 4 + -4 = 0
0 + -12STU + 6U = -30 + 5v + -4 + w
-12STU + 6U = -30 + 5v + -4 + w

Reorder the terms:
-12STU + 6U = -30 + -4 + 5v + w

Combine like terms: -30 + -4 = -34
-12STU + 6U = -34 + 5v + w

Add '-6U' to each side of the equation.
-12STU + 6U + -6U = -34 + 5v + -6U + w

Combine like terms: 6U + -6U = 0
-12STU + 0 = -34 + 5v + -6U + w
-12STU = -34 + 5v + -6U + w

Reorder the terms:
-12STU = -34 + -6U + 5v + w

Divide each side by '-12TU'.
S = 2.833333333T-1U-1 + 0.5T-1 + -0.4166666667vT-1U-1 + -0.08333333333wT-1U-1

Simplifying
S = 2.833333333T-1U-1 + 0.5T-1 + -0.4166666667vT-1U-1 + -0.08333333333wT-1U-1

Reorder the terms:
S = 0.5T-1 + 2.833333333T-1U-1 + -0.4166666667vT-1U-1 + -0.08333333333wT-1U-1

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