3(w+1)+11=2(w+8)12

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Solution for 3(w+1)+11=2(w+8)12 equation:


Simplifying
3(w + 1) + 11 = 2(w + 8) * 12

Reorder the terms:
3(1 + w) + 11 = 2(w + 8) * 12
(1 * 3 + w * 3) + 11 = 2(w + 8) * 12
(3 + 3w) + 11 = 2(w + 8) * 12

Reorder the terms:
3 + 11 + 3w = 2(w + 8) * 12

Combine like terms: 3 + 11 = 14
14 + 3w = 2(w + 8) * 12

Reorder the terms:
14 + 3w = 2(8 + w) * 12

Reorder the terms for easier multiplication:
14 + 3w = 2 * 12(8 + w)

Multiply 2 * 12
14 + 3w = 24(8 + w)
14 + 3w = (8 * 24 + w * 24)
14 + 3w = (192 + 24w)

Solving
14 + 3w = 192 + 24w

Solving for variable 'w'.

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

Add '-24w' to each side of the equation.
14 + 3w + -24w = 192 + 24w + -24w

Combine like terms: 3w + -24w = -21w
14 + -21w = 192 + 24w + -24w

Combine like terms: 24w + -24w = 0
14 + -21w = 192 + 0
14 + -21w = 192

Add '-14' to each side of the equation.
14 + -14 + -21w = 192 + -14

Combine like terms: 14 + -14 = 0
0 + -21w = 192 + -14
-21w = 192 + -14

Combine like terms: 192 + -14 = 178
-21w = 178

Divide each side by '-21'.
w = -8.476190476

Simplifying
w = -8.476190476

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