2(w+5)=7w-5

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


Simplifying
2(w + 5) = 7w + -5

Reorder the terms:
2(5 + w) = 7w + -5
(5 * 2 + w * 2) = 7w + -5
(10 + 2w) = 7w + -5

Reorder the terms:
10 + 2w = -5 + 7w

Solving
10 + 2w = -5 + 7w

Solving for variable 'w'.

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

Add '-7w' to each side of the equation.
10 + 2w + -7w = -5 + 7w + -7w

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

Combine like terms: 7w + -7w = 0
10 + -5w = -5 + 0
10 + -5w = -5

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

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

Combine like terms: -5 + -10 = -15
-5w = -15

Divide each side by '-5'.
w = 3

Simplifying
w = 3

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