3(w-7)+2(3w+2)=21

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Solution for 3(w-7)+2(3w+2)=21 equation: 


Simplifying
3(w + -7) + 2(3w + 2) = 21

Reorder the terms:
3(-7 + w) + 2(3w + 2) = 21
(-7 * 3 + w * 3) + 2(3w + 2) = 21
(-21 + 3w) + 2(3w + 2) = 21

Reorder the terms:
-21 + 3w + 2(2 + 3w) = 21
-21 + 3w + (2 * 2 + 3w * 2) = 21
-21 + 3w + (4 + 6w) = 21

Reorder the terms:
-21 + 4 + 3w + 6w = 21

Combine like terms: -21 + 4 = -17
-17 + 3w + 6w = 21

Combine like terms: 3w + 6w = 9w
-17 + 9w = 21

Solving
-17 + 9w = 21

Solving for variable 'w'.

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

Add '17' to each side of the equation.
-17 + 17 + 9w = 21 + 17

Combine like terms: -17 + 17 = 0
0 + 9w = 21 + 17
9w = 21 + 17

Combine like terms: 21 + 17 = 38
9w = 38

Divide each side by '9'.
w = 4.222222222

Simplifying
w = 4.222222222

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