3(w-5)+4=8-(w-1)

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Solution for 3(w-5)+4=8-(w-1) equation:


Simplifying
3(w + -5) + 4 = 8 + -1(w + -1)

Reorder the terms:
3(-5 + w) + 4 = 8 + -1(w + -1)
(-5 * 3 + w * 3) + 4 = 8 + -1(w + -1)
(-15 + 3w) + 4 = 8 + -1(w + -1)

Reorder the terms:
-15 + 4 + 3w = 8 + -1(w + -1)

Combine like terms: -15 + 4 = -11
-11 + 3w = 8 + -1(w + -1)

Reorder the terms:
-11 + 3w = 8 + -1(-1 + w)
-11 + 3w = 8 + (-1 * -1 + w * -1)
-11 + 3w = 8 + (1 + -1w)

Combine like terms: 8 + 1 = 9
-11 + 3w = 9 + -1w

Solving
-11 + 3w = 9 + -1w

Solving for variable 'w'.

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

Add 'w' to each side of the equation.
-11 + 3w + w = 9 + -1w + w

Combine like terms: 3w + w = 4w
-11 + 4w = 9 + -1w + w

Combine like terms: -1w + w = 0
-11 + 4w = 9 + 0
-11 + 4w = 9

Add '11' to each side of the equation.
-11 + 11 + 4w = 9 + 11

Combine like terms: -11 + 11 = 0
0 + 4w = 9 + 11
4w = 9 + 11

Combine like terms: 9 + 11 = 20
4w = 20

Divide each side by '4'.
w = 5

Simplifying
w = 5

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