5(15)+w+2=8w+15-36

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Solution for 5(15)+w+2=8w+15-36 equation: 


Simplifying
5(15) + w + 2 = 8w + 15 + -36

Multiply 5 * 15
75 + w + 2 = 8w + 15 + -36

Reorder the terms:
75 + 2 + w = 8w + 15 + -36

Combine like terms: 75 + 2 = 77
77 + w = 8w + 15 + -36

Reorder the terms:
77 + w = 15 + -36 + 8w

Combine like terms: 15 + -36 = -21
77 + w = -21 + 8w

Solving
77 + w = -21 + 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.
77 + w + -8w = -21 + 8w + -8w

Combine like terms: w + -8w = -7w
77 + -7w = -21 + 8w + -8w

Combine like terms: 8w + -8w = 0
77 + -7w = -21 + 0
77 + -7w = -21

Add '-77' to each side of the equation.
77 + -77 + -7w = -21 + -77

Combine like terms: 77 + -77 = 0
0 + -7w = -21 + -77
-7w = -21 + -77

Combine like terms: -21 + -77 = -98
-7w = -98

Divide each side by '-7'.
w = 14

Simplifying
w = 14

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