3(w-5)-1=-6(-2w+1)-3w

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Solution for 3(w-5)-1=-6(-2w+1)-3w equation:


Simplifying
3(w + -5) + -1 = -6(-2w + 1) + -3w

Reorder the terms:
3(-5 + w) + -1 = -6(-2w + 1) + -3w
(-5 * 3 + w * 3) + -1 = -6(-2w + 1) + -3w
(-15 + 3w) + -1 = -6(-2w + 1) + -3w

Reorder the terms:
-15 + -1 + 3w = -6(-2w + 1) + -3w

Combine like terms: -15 + -1 = -16
-16 + 3w = -6(-2w + 1) + -3w

Reorder the terms:
-16 + 3w = -6(1 + -2w) + -3w
-16 + 3w = (1 * -6 + -2w * -6) + -3w
-16 + 3w = (-6 + 12w) + -3w

Combine like terms: 12w + -3w = 9w
-16 + 3w = -6 + 9w

Solving
-16 + 3w = -6 + 9w

Solving for variable 'w'.

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

Add '-9w' to each side of the equation.
-16 + 3w + -9w = -6 + 9w + -9w

Combine like terms: 3w + -9w = -6w
-16 + -6w = -6 + 9w + -9w

Combine like terms: 9w + -9w = 0
-16 + -6w = -6 + 0
-16 + -6w = -6

Add '16' to each side of the equation.
-16 + 16 + -6w = -6 + 16

Combine like terms: -16 + 16 = 0
0 + -6w = -6 + 16
-6w = -6 + 16

Combine like terms: -6 + 16 = 10
-6w = 10

Divide each side by '-6'.
w = -1.666666667

Simplifying
w = -1.666666667

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