3w-(10+6w)=2(w-4)

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Solution for 3w-(10+6w)=2(w-4) equation:


Simplifying
3w + -1(10 + 6w) = 2(w + -4)
3w + (10 * -1 + 6w * -1) = 2(w + -4)
3w + (-10 + -6w) = 2(w + -4)

Reorder the terms:
-10 + 3w + -6w = 2(w + -4)

Combine like terms: 3w + -6w = -3w
-10 + -3w = 2(w + -4)

Reorder the terms:
-10 + -3w = 2(-4 + w)
-10 + -3w = (-4 * 2 + w * 2)
-10 + -3w = (-8 + 2w)

Solving
-10 + -3w = -8 + 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.
-10 + -3w + -2w = -8 + 2w + -2w

Combine like terms: -3w + -2w = -5w
-10 + -5w = -8 + 2w + -2w

Combine like terms: 2w + -2w = 0
-10 + -5w = -8 + 0
-10 + -5w = -8

Add '10' to each side of the equation.
-10 + 10 + -5w = -8 + 10

Combine like terms: -10 + 10 = 0
0 + -5w = -8 + 10
-5w = -8 + 10

Combine like terms: -8 + 10 = 2
-5w = 2

Divide each side by '-5'.
w = -0.4

Simplifying
w = -0.4

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