2(w+1)+5=3(2w-1)+8

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Solution for 2(w+1)+5=3(2w-1)+8 equation: 


Simplifying
2(w + 1) + 5 = 3(2w + -1) + 8

Reorder the terms:
2(1 + w) + 5 = 3(2w + -1) + 8
(1 * 2 + w * 2) + 5 = 3(2w + -1) + 8
(2 + 2w) + 5 = 3(2w + -1) + 8

Reorder the terms:
2 + 5 + 2w = 3(2w + -1) + 8

Combine like terms: 2 + 5 = 7
7 + 2w = 3(2w + -1) + 8

Reorder the terms:
7 + 2w = 3(-1 + 2w) + 8
7 + 2w = (-1 * 3 + 2w * 3) + 8
7 + 2w = (-3 + 6w) + 8

Reorder the terms:
7 + 2w = -3 + 8 + 6w

Combine like terms: -3 + 8 = 5
7 + 2w = 5 + 6w

Solving
7 + 2w = 5 + 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.
7 + 2w + -6w = 5 + 6w + -6w

Combine like terms: 2w + -6w = -4w
7 + -4w = 5 + 6w + -6w

Combine like terms: 6w + -6w = 0
7 + -4w = 5 + 0
7 + -4w = 5

Add '-7' to each side of the equation.
7 + -7 + -4w = 5 + -7

Combine like terms: 7 + -7 = 0
0 + -4w = 5 + -7
-4w = 5 + -7

Combine like terms: 5 + -7 = -2
-4w = -2

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

Simplifying
w = 0.5

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