2(w+4)+6w+10=3(3w+2)+10

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Solution for 2(w+4)+6w+10=3(3w+2)+10 equation:


Simplifying
2(w + 4) + 6w + 10 = 3(3w + 2) + 10

Reorder the terms:
2(4 + w) + 6w + 10 = 3(3w + 2) + 10
(4 * 2 + w * 2) + 6w + 10 = 3(3w + 2) + 10
(8 + 2w) + 6w + 10 = 3(3w + 2) + 10

Reorder the terms:
8 + 10 + 2w + 6w = 3(3w + 2) + 10

Combine like terms: 8 + 10 = 18
18 + 2w + 6w = 3(3w + 2) + 10

Combine like terms: 2w + 6w = 8w
18 + 8w = 3(3w + 2) + 10

Reorder the terms:
18 + 8w = 3(2 + 3w) + 10
18 + 8w = (2 * 3 + 3w * 3) + 10
18 + 8w = (6 + 9w) + 10

Reorder the terms:
18 + 8w = 6 + 10 + 9w

Combine like terms: 6 + 10 = 16
18 + 8w = 16 + 9w

Solving
18 + 8w = 16 + 9w

Solving for variable 'w'.

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

Add '-9w' to each side of the equation.
18 + 8w + -9w = 16 + 9w + -9w

Combine like terms: 8w + -9w = -1w
18 + -1w = 16 + 9w + -9w

Combine like terms: 9w + -9w = 0
18 + -1w = 16 + 0
18 + -1w = 16

Add '-18' to each side of the equation.
18 + -18 + -1w = 16 + -18

Combine like terms: 18 + -18 = 0
0 + -1w = 16 + -18
-1w = 16 + -18

Combine like terms: 16 + -18 = -2
-1w = -2

Divide each side by '-1'.
w = 2

Simplifying
w = 2

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