6(w-2)+5=(4w-3)

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Solution for 6(w-2)+5=(4w-3) equation:


Simplifying
6(w + -2) + 5 = (4w + -3)

Reorder the terms:
6(-2 + w) + 5 = (4w + -3)
(-2 * 6 + w * 6) + 5 = (4w + -3)
(-12 + 6w) + 5 = (4w + -3)

Reorder the terms:
-12 + 5 + 6w = (4w + -3)

Combine like terms: -12 + 5 = -7
-7 + 6w = (4w + -3)

Reorder the terms:
-7 + 6w = (-3 + 4w)

Remove parenthesis around (-3 + 4w)
-7 + 6w = -3 + 4w

Solving
-7 + 6w = -3 + 4w

Solving for variable 'w'.

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

Add '-4w' to each side of the equation.
-7 + 6w + -4w = -3 + 4w + -4w

Combine like terms: 6w + -4w = 2w
-7 + 2w = -3 + 4w + -4w

Combine like terms: 4w + -4w = 0
-7 + 2w = -3 + 0
-7 + 2w = -3

Add '7' to each side of the equation.
-7 + 7 + 2w = -3 + 7

Combine like terms: -7 + 7 = 0
0 + 2w = -3 + 7
2w = -3 + 7

Combine like terms: -3 + 7 = 4
2w = 4

Divide each side by '2'.
w = 2

Simplifying
w = 2

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