6(2+w)=5(7+w)

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Solution for 6(2+w)=5(7+w) equation:


Simplifying
6(2 + w) = 5(7 + w)
(2 * 6 + w * 6) = 5(7 + w)
(12 + 6w) = 5(7 + w)
12 + 6w = (7 * 5 + w * 5)
12 + 6w = (35 + 5w)

Solving
12 + 6w = 35 + 5w

Solving for variable 'w'.

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

Add '-5w' to each side of the equation.
12 + 6w + -5w = 35 + 5w + -5w

Combine like terms: 6w + -5w = 1w
12 + 1w = 35 + 5w + -5w

Combine like terms: 5w + -5w = 0
12 + 1w = 35 + 0
12 + 1w = 35

Add '-12' to each side of the equation.
12 + -12 + 1w = 35 + -12

Combine like terms: 12 + -12 = 0
0 + 1w = 35 + -12
1w = 35 + -12

Combine like terms: 35 + -12 = 23
1w = 23

Divide each side by '1'.
w = 23

Simplifying
w = 23

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