2(w+1)-(6w-9)=5w

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Solution for 2(w+1)-(6w-9)=5w equation: 


Simplifying
2(w + 1) + -1(6w + -9) = 5w

Reorder the terms:
2(1 + w) + -1(6w + -9) = 5w
(1 * 2 + w * 2) + -1(6w + -9) = 5w
(2 + 2w) + -1(6w + -9) = 5w

Reorder the terms:
2 + 2w + -1(-9 + 6w) = 5w
2 + 2w + (-9 * -1 + 6w * -1) = 5w
2 + 2w + (9 + -6w) = 5w

Reorder the terms:
2 + 9 + 2w + -6w = 5w

Combine like terms: 2 + 9 = 11
11 + 2w + -6w = 5w

Combine like terms: 2w + -6w = -4w
11 + -4w = 5w

Solving
11 + -4w = 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.
11 + -4w + -5w = 5w + -5w

Combine like terms: -4w + -5w = -9w
11 + -9w = 5w + -5w

Combine like terms: 5w + -5w = 0
11 + -9w = 0

Add '-11' to each side of the equation.
11 + -11 + -9w = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -9w = 0 + -11
-9w = 0 + -11

Combine like terms: 0 + -11 = -11
-9w = -11

Divide each side by '-9'.
w = 1.222222222

Simplifying
w = 1.222222222

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