32-3(2w+1)=7w-3(7+w)

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Solution for 32-3(2w+1)=7w-3(7+w) equation:


Simplifying
32 + -3(2w + 1) = 7w + -3(7 + w)

Reorder the terms:
32 + -3(1 + 2w) = 7w + -3(7 + w)
32 + (1 * -3 + 2w * -3) = 7w + -3(7 + w)
32 + (-3 + -6w) = 7w + -3(7 + w)

Combine like terms: 32 + -3 = 29
29 + -6w = 7w + -3(7 + w)
29 + -6w = 7w + (7 * -3 + w * -3)
29 + -6w = 7w + (-21 + -3w)

Reorder the terms:
29 + -6w = -21 + 7w + -3w

Combine like terms: 7w + -3w = 4w
29 + -6w = -21 + 4w

Solving
29 + -6w = -21 + 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.
29 + -6w + -4w = -21 + 4w + -4w

Combine like terms: -6w + -4w = -10w
29 + -10w = -21 + 4w + -4w

Combine like terms: 4w + -4w = 0
29 + -10w = -21 + 0
29 + -10w = -21

Add '-29' to each side of the equation.
29 + -29 + -10w = -21 + -29

Combine like terms: 29 + -29 = 0
0 + -10w = -21 + -29
-10w = -21 + -29

Combine like terms: -21 + -29 = -50
-10w = -50

Divide each side by '-10'.
w = 5

Simplifying
w = 5

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