8(w-5)-(5w-7)=2w

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Solution for 8(w-5)-(5w-7)=2w equation:


Simplifying
8(w + -5) + -1(5w + -7) = 2w

Reorder the terms:
8(-5 + w) + -1(5w + -7) = 2w
(-5 * 8 + w * 8) + -1(5w + -7) = 2w
(-40 + 8w) + -1(5w + -7) = 2w

Reorder the terms:
-40 + 8w + -1(-7 + 5w) = 2w
-40 + 8w + (-7 * -1 + 5w * -1) = 2w
-40 + 8w + (7 + -5w) = 2w

Reorder the terms:
-40 + 7 + 8w + -5w = 2w

Combine like terms: -40 + 7 = -33
-33 + 8w + -5w = 2w

Combine like terms: 8w + -5w = 3w
-33 + 3w = 2w

Solving
-33 + 3w = 2w

Solving for variable 'w'.

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

Add '-2w' to each side of the equation.
-33 + 3w + -2w = 2w + -2w

Combine like terms: 3w + -2w = 1w
-33 + 1w = 2w + -2w

Combine like terms: 2w + -2w = 0
-33 + 1w = 0

Add '33' to each side of the equation.
-33 + 33 + 1w = 0 + 33

Combine like terms: -33 + 33 = 0
0 + 1w = 0 + 33
1w = 0 + 33

Combine like terms: 0 + 33 = 33
1w = 33

Divide each side by '1'.
w = 33

Simplifying
w = 33

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