4(2w-5)=5w+4

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Solution for 4(2w-5)=5w+4 equation:


Simplifying
4(2w + -5) = 5w + 4

Reorder the terms:
4(-5 + 2w) = 5w + 4
(-5 * 4 + 2w * 4) = 5w + 4
(-20 + 8w) = 5w + 4

Reorder the terms:
-20 + 8w = 4 + 5w

Solving
-20 + 8w = 4 + 5w

Solving for variable 'w'.

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

Add '-5w' to each side of the equation.
-20 + 8w + -5w = 4 + 5w + -5w

Combine like terms: 8w + -5w = 3w
-20 + 3w = 4 + 5w + -5w

Combine like terms: 5w + -5w = 0
-20 + 3w = 4 + 0
-20 + 3w = 4

Add '20' to each side of the equation.
-20 + 20 + 3w = 4 + 20

Combine like terms: -20 + 20 = 0
0 + 3w = 4 + 20
3w = 4 + 20

Combine like terms: 4 + 20 = 24
3w = 24

Divide each side by '3'.
w = 8

Simplifying
w = 8

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