2w+5(w-2)=8-2w

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Solution for 2w+5(w-2)=8-2w equation:


Simplifying
2w + 5(w + -2) = 8 + -2w

Reorder the terms:
2w + 5(-2 + w) = 8 + -2w
2w + (-2 * 5 + w * 5) = 8 + -2w
2w + (-10 + 5w) = 8 + -2w

Reorder the terms:
-10 + 2w + 5w = 8 + -2w

Combine like terms: 2w + 5w = 7w
-10 + 7w = 8 + -2w

Solving
-10 + 7w = 8 + -2w

Solving for variable 'w'.

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

Add '2w' to each side of the equation.
-10 + 7w + 2w = 8 + -2w + 2w

Combine like terms: 7w + 2w = 9w
-10 + 9w = 8 + -2w + 2w

Combine like terms: -2w + 2w = 0
-10 + 9w = 8 + 0
-10 + 9w = 8

Add '10' to each side of the equation.
-10 + 10 + 9w = 8 + 10

Combine like terms: -10 + 10 = 0
0 + 9w = 8 + 10
9w = 8 + 10

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

Divide each side by '9'.
w = 2

Simplifying
w = 2

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