6[3w+5]=2[10w+10]

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Solution for 6[3w+5]=2[10w+10] equation:


Simplifying
6[3w + 5] = 2[10w + 10]

Reorder the terms:
6[5 + 3w] = 2[10w + 10]
[5 * 6 + 3w * 6] = 2[10w + 10]
[30 + 18w] = 2[10w + 10]

Reorder the terms:
30 + 18w = 2[10 + 10w]
30 + 18w = [10 * 2 + 10w * 2]
30 + 18w = [20 + 20w]

Solving
30 + 18w = 20 + 20w

Solving for variable 'w'.

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

Add '-20w' to each side of the equation.
30 + 18w + -20w = 20 + 20w + -20w

Combine like terms: 18w + -20w = -2w
30 + -2w = 20 + 20w + -20w

Combine like terms: 20w + -20w = 0
30 + -2w = 20 + 0
30 + -2w = 20

Add '-30' to each side of the equation.
30 + -30 + -2w = 20 + -30

Combine like terms: 30 + -30 = 0
0 + -2w = 20 + -30
-2w = 20 + -30

Combine like terms: 20 + -30 = -10
-2w = -10

Divide each side by '-2'.
w = 5

Simplifying
w = 5

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