3(w-4)-2(w-10)=15

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Solution for 3(w-4)-2(w-10)=15 equation:


Simplifying
3(w + -4) + -2(w + -10) = 15

Reorder the terms:
3(-4 + w) + -2(w + -10) = 15
(-4 * 3 + w * 3) + -2(w + -10) = 15
(-12 + 3w) + -2(w + -10) = 15

Reorder the terms:
-12 + 3w + -2(-10 + w) = 15
-12 + 3w + (-10 * -2 + w * -2) = 15
-12 + 3w + (20 + -2w) = 15

Reorder the terms:
-12 + 20 + 3w + -2w = 15

Combine like terms: -12 + 20 = 8
8 + 3w + -2w = 15

Combine like terms: 3w + -2w = 1w
8 + 1w = 15

Solving
8 + 1w = 15

Solving for variable 'w'.

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

Add '-8' to each side of the equation.
8 + -8 + 1w = 15 + -8

Combine like terms: 8 + -8 = 0
0 + 1w = 15 + -8
1w = 15 + -8

Combine like terms: 15 + -8 = 7
1w = 7

Divide each side by '1'.
w = 7

Simplifying
w = 7

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