7(w+3)=8(w-3)

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Solution for 7(w+3)=8(w-3) equation:


Simplifying
7(w + 3) = 8(w + -3)

Reorder the terms:
7(3 + w) = 8(w + -3)
(3 * 7 + w * 7) = 8(w + -3)
(21 + 7w) = 8(w + -3)

Reorder the terms:
21 + 7w = 8(-3 + w)
21 + 7w = (-3 * 8 + w * 8)
21 + 7w = (-24 + 8w)

Solving
21 + 7w = -24 + 8w

Solving for variable 'w'.

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

Add '-8w' to each side of the equation.
21 + 7w + -8w = -24 + 8w + -8w

Combine like terms: 7w + -8w = -1w
21 + -1w = -24 + 8w + -8w

Combine like terms: 8w + -8w = 0
21 + -1w = -24 + 0
21 + -1w = -24

Add '-21' to each side of the equation.
21 + -21 + -1w = -24 + -21

Combine like terms: 21 + -21 = 0
0 + -1w = -24 + -21
-1w = -24 + -21

Combine like terms: -24 + -21 = -45
-1w = -45

Divide each side by '-1'.
w = 45

Simplifying
w = 45

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