22-(w-3)=-2(3w+5)

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Solution for 22-(w-3)=-2(3w+5) equation:


Simplifying
22 + -1(w + -3) = -2(3w + 5)

Reorder the terms:
22 + -1(-3 + w) = -2(3w + 5)
22 + (-3 * -1 + w * -1) = -2(3w + 5)
22 + (3 + -1w) = -2(3w + 5)

Combine like terms: 22 + 3 = 25
25 + -1w = -2(3w + 5)

Reorder the terms:
25 + -1w = -2(5 + 3w)
25 + -1w = (5 * -2 + 3w * -2)
25 + -1w = (-10 + -6w)

Solving
25 + -1w = -10 + -6w

Solving for variable 'w'.

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

Add '6w' to each side of the equation.
25 + -1w + 6w = -10 + -6w + 6w

Combine like terms: -1w + 6w = 5w
25 + 5w = -10 + -6w + 6w

Combine like terms: -6w + 6w = 0
25 + 5w = -10 + 0
25 + 5w = -10

Add '-25' to each side of the equation.
25 + -25 + 5w = -10 + -25

Combine like terms: 25 + -25 = 0
0 + 5w = -10 + -25
5w = -10 + -25

Combine like terms: -10 + -25 = -35
5w = -35

Divide each side by '5'.
w = -7

Simplifying
w = -7

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