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

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


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

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

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

Combine like terms: -6 + 5 = -1
-1 + 2w = 3(2w + -1)

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

Solving
-1 + 2w = -3 + 6w

Solving for variable 'w'.

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

Add '-6w' to each side of the equation.
-1 + 2w + -6w = -3 + 6w + -6w

Combine like terms: 2w + -6w = -4w
-1 + -4w = -3 + 6w + -6w

Combine like terms: 6w + -6w = 0
-1 + -4w = -3 + 0
-1 + -4w = -3

Add '1' to each side of the equation.
-1 + 1 + -4w = -3 + 1

Combine like terms: -1 + 1 = 0
0 + -4w = -3 + 1
-4w = -3 + 1

Combine like terms: -3 + 1 = -2
-4w = -2

Divide each side by '-4'.
w = 0.5

Simplifying
w = 0.5

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