4(w-1)+3(w+5)=w+17

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Solution for 4(w-1)+3(w+5)=w+17 equation: 


Simplifying
4(w + -1) + 3(w + 5) = w + 17

Reorder the terms:
4(-1 + w) + 3(w + 5) = w + 17
(-1 * 4 + w * 4) + 3(w + 5) = w + 17
(-4 + 4w) + 3(w + 5) = w + 17

Reorder the terms:
-4 + 4w + 3(5 + w) = w + 17
-4 + 4w + (5 * 3 + w * 3) = w + 17
-4 + 4w + (15 + 3w) = w + 17

Reorder the terms:
-4 + 15 + 4w + 3w = w + 17

Combine like terms: -4 + 15 = 11
11 + 4w + 3w = w + 17

Combine like terms: 4w + 3w = 7w
11 + 7w = w + 17

Reorder the terms:
11 + 7w = 17 + w

Solving
11 + 7w = 17 + w

Solving for variable 'w'.

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

Add '-1w' to each side of the equation.
11 + 7w + -1w = 17 + w + -1w

Combine like terms: 7w + -1w = 6w
11 + 6w = 17 + w + -1w

Combine like terms: w + -1w = 0
11 + 6w = 17 + 0
11 + 6w = 17

Add '-11' to each side of the equation.
11 + -11 + 6w = 17 + -11

Combine like terms: 11 + -11 = 0
0 + 6w = 17 + -11
6w = 17 + -11

Combine like terms: 17 + -11 = 6
6w = 6

Divide each side by '6'.
w = 1

Simplifying
w = 1

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