(7w-5)-(3w-2)=3w-6

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Solution for (7w-5)-(3w-2)=3w-6 equation:


Simplifying
(7w + -5) + -1(3w + -2) = 3w + -6

Reorder the terms:
(-5 + 7w) + -1(3w + -2) = 3w + -6

Remove parenthesis around (-5 + 7w)
-5 + 7w + -1(3w + -2) = 3w + -6

Reorder the terms:
-5 + 7w + -1(-2 + 3w) = 3w + -6
-5 + 7w + (-2 * -1 + 3w * -1) = 3w + -6
-5 + 7w + (2 + -3w) = 3w + -6

Reorder the terms:
-5 + 2 + 7w + -3w = 3w + -6

Combine like terms: -5 + 2 = -3
-3 + 7w + -3w = 3w + -6

Combine like terms: 7w + -3w = 4w
-3 + 4w = 3w + -6

Reorder the terms:
-3 + 4w = -6 + 3w

Solving
-3 + 4w = -6 + 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.
-3 + 4w + -3w = -6 + 3w + -3w

Combine like terms: 4w + -3w = 1w
-3 + 1w = -6 + 3w + -3w

Combine like terms: 3w + -3w = 0
-3 + 1w = -6 + 0
-3 + 1w = -6

Add '3' to each side of the equation.
-3 + 3 + 1w = -6 + 3

Combine like terms: -3 + 3 = 0
0 + 1w = -6 + 3
1w = -6 + 3

Combine like terms: -6 + 3 = -3
1w = -3

Divide each side by '1'.
w = -3

Simplifying
w = -3

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