2(w-3)=9w+1

Solution for 2(w-3)=9w+1 equation:

Simplifying
2(w + -3) = 9w + 1

Reorder the terms:
2(-3 + w) = 9w + 1
(-3 * 2 + w * 2) = 9w + 1
(-6 + 2w) = 9w + 1

Reorder the terms:
-6 + 2w = 1 + 9w

Solving
-6 + 2w = 1 + 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.
-6 + 2w + -9w = 1 + 9w + -9w

Combine like terms: 2w + -9w = -7w
-6 + -7w = 1 + 9w + -9w

Combine like terms: 9w + -9w = 0
-6 + -7w = 1 + 0
-6 + -7w = 1

Add '6' to each side of the equation.
-6 + 6 + -7w = 1 + 6

Combine like terms: -6 + 6 = 0
0 + -7w = 1 + 6
-7w = 1 + 6

Combine like terms: 1 + 6 = 7
-7w = 7

Divide each side by '-7'.
w = -1

Simplifying
w = -1