4(w+7)-15=2(3w-1)+5

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Solution for 4(w+7)-15=2(3w-1)+5 equation:


Simplifying
4(w + 7) + -15 = 2(3w + -1) + 5

Reorder the terms:
4(7 + w) + -15 = 2(3w + -1) + 5
(7 * 4 + w * 4) + -15 = 2(3w + -1) + 5
(28 + 4w) + -15 = 2(3w + -1) + 5

Reorder the terms:
28 + -15 + 4w = 2(3w + -1) + 5

Combine like terms: 28 + -15 = 13
13 + 4w = 2(3w + -1) + 5

Reorder the terms:
13 + 4w = 2(-1 + 3w) + 5
13 + 4w = (-1 * 2 + 3w * 2) + 5
13 + 4w = (-2 + 6w) + 5

Reorder the terms:
13 + 4w = -2 + 5 + 6w

Combine like terms: -2 + 5 = 3
13 + 4w = 3 + 6w

Solving
13 + 4w = 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.
13 + 4w + -6w = 3 + 6w + -6w

Combine like terms: 4w + -6w = -2w
13 + -2w = 3 + 6w + -6w

Combine like terms: 6w + -6w = 0
13 + -2w = 3 + 0
13 + -2w = 3

Add '-13' to each side of the equation.
13 + -13 + -2w = 3 + -13

Combine like terms: 13 + -13 = 0
0 + -2w = 3 + -13
-2w = 3 + -13

Combine like terms: 3 + -13 = -10
-2w = -10

Divide each side by '-2'.
w = 5

Simplifying
w = 5

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