5(w-2)+7=4-3(1-w)

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Solution for 5(w-2)+7=4-3(1-w) equation:


Simplifying
5(w + -2) + 7 = 4 + -3(1 + -1w)

Reorder the terms:
5(-2 + w) + 7 = 4 + -3(1 + -1w)
(-2 * 5 + w * 5) + 7 = 4 + -3(1 + -1w)
(-10 + 5w) + 7 = 4 + -3(1 + -1w)

Reorder the terms:
-10 + 7 + 5w = 4 + -3(1 + -1w)

Combine like terms: -10 + 7 = -3
-3 + 5w = 4 + -3(1 + -1w)
-3 + 5w = 4 + (1 * -3 + -1w * -3)
-3 + 5w = 4 + (-3 + 3w)

Combine like terms: 4 + -3 = 1
-3 + 5w = 1 + 3w

Solving
-3 + 5w = 1 + 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 + 5w + -3w = 1 + 3w + -3w

Combine like terms: 5w + -3w = 2w
-3 + 2w = 1 + 3w + -3w

Combine like terms: 3w + -3w = 0
-3 + 2w = 1 + 0
-3 + 2w = 1

Add '3' to each side of the equation.
-3 + 3 + 2w = 1 + 3

Combine like terms: -3 + 3 = 0
0 + 2w = 1 + 3
2w = 1 + 3

Combine like terms: 1 + 3 = 4
2w = 4

Divide each side by '2'.
w = 2

Simplifying
w = 2

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