7e-4(6+2w)=3(w-8)

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Solution for 7e-4(6+2w)=3(w-8) equation: 


Simplifying
7e + -4(6 + 2w) = 3(w + -8)
7e + (6 * -4 + 2w * -4) = 3(w + -8)
7e + (-24 + -8w) = 3(w + -8)

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

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

Add '24' to each side of the equation.
-24 + 7e + 24 + -8w = -24 + 24 + 3w

Reorder the terms:
-24 + 24 + 7e + -8w = -24 + 24 + 3w

Combine like terms: -24 + 24 = 0
0 + 7e + -8w = -24 + 24 + 3w
7e + -8w = -24 + 24 + 3w

Combine like terms: -24 + 24 = 0
7e + -8w = 0 + 3w
7e + -8w = 3w

Solving
7e + -8w = 3w

Solving for variable 'e'.

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

Add '8w' to each side of the equation.
7e + -8w + 8w = 3w + 8w

Combine like terms: -8w + 8w = 0
7e + 0 = 3w + 8w
7e = 3w + 8w

Combine like terms: 3w + 8w = 11w
7e = 11w

Divide each side by '7'.
e = 1.571428571w

Simplifying
e = 1.571428571w

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