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

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


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

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

Combine like terms: 5 + 6 = 11
11 + -3w = w + -7

Reorder the terms:
11 + -3w = -7 + w

Solving
11 + -3w = -7 + w

Solving for variable 'w'.

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

Add '-1w' to each side of the equation.
11 + -3w + -1w = -7 + w + -1w

Combine like terms: -3w + -1w = -4w
11 + -4w = -7 + w + -1w

Combine like terms: w + -1w = 0
11 + -4w = -7 + 0
11 + -4w = -7

Add '-11' to each side of the equation.
11 + -11 + -4w = -7 + -11

Combine like terms: 11 + -11 = 0
0 + -4w = -7 + -11
-4w = -7 + -11

Combine like terms: -7 + -11 = -18
-4w = -18

Divide each side by '-4'.
w = 4.5

Simplifying
w = 4.5

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