5(3W+5)+3W=8(W+7)-21

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Solution for 5(3W+5)+3W=8(W+7)-21 equation: 


Simplifying
5(3W + 5) + 3W = 8(W + 7) + -21

Reorder the terms:
5(5 + 3W) + 3W = 8(W + 7) + -21
(5 * 5 + 3W * 5) + 3W = 8(W + 7) + -21
(25 + 15W) + 3W = 8(W + 7) + -21

Combine like terms: 15W + 3W = 18W
25 + 18W = 8(W + 7) + -21

Reorder the terms:
25 + 18W = 8(7 + W) + -21
25 + 18W = (7 * 8 + W * 8) + -21
25 + 18W = (56 + 8W) + -21

Reorder the terms:
25 + 18W = 56 + -21 + 8W

Combine like terms: 56 + -21 = 35
25 + 18W = 35 + 8W

Solving
25 + 18W = 35 + 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.
25 + 18W + -8W = 35 + 8W + -8W

Combine like terms: 18W + -8W = 10W
25 + 10W = 35 + 8W + -8W

Combine like terms: 8W + -8W = 0
25 + 10W = 35 + 0
25 + 10W = 35

Add '-25' to each side of the equation.
25 + -25 + 10W = 35 + -25

Combine like terms: 25 + -25 = 0
0 + 10W = 35 + -25
10W = 35 + -25

Combine like terms: 35 + -25 = 10
10W = 10

Divide each side by '10'.
W = 1

Simplifying
W = 1

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