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

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


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

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

Reorder the terms:
10 + -5w = 2 + 3w

Solving
10 + -5w = 2 + 3w

Solving for variable 'w'.

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

Add '-3w' to each side of the equation.
10 + -5w + -3w = 2 + 3w + -3w

Combine like terms: -5w + -3w = -8w
10 + -8w = 2 + 3w + -3w

Combine like terms: 3w + -3w = 0
10 + -8w = 2 + 0
10 + -8w = 2

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

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

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

Divide each side by '-8'.
w = 1

Simplifying
w = 1

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