25-3(2w+1)=10w-3(10+w)

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Solution for 25-3(2w+1)=10w-3(10+w) equation: 


Simplifying
25 + -3(2w + 1) = 10w + -3(10 + w)

Reorder the terms:
25 + -3(1 + 2w) = 10w + -3(10 + w)
25 + (1 * -3 + 2w * -3) = 10w + -3(10 + w)
25 + (-3 + -6w) = 10w + -3(10 + w)

Combine like terms: 25 + -3 = 22
22 + -6w = 10w + -3(10 + w)
22 + -6w = 10w + (10 * -3 + w * -3)
22 + -6w = 10w + (-30 + -3w)

Reorder the terms:
22 + -6w = -30 + 10w + -3w

Combine like terms: 10w + -3w = 7w
22 + -6w = -30 + 7w

Solving
22 + -6w = -30 + 7w

Solving for variable 'w'.

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

Add '-7w' to each side of the equation.
22 + -6w + -7w = -30 + 7w + -7w

Combine like terms: -6w + -7w = -13w
22 + -13w = -30 + 7w + -7w

Combine like terms: 7w + -7w = 0
22 + -13w = -30 + 0
22 + -13w = -30

Add '-22' to each side of the equation.
22 + -22 + -13w = -30 + -22

Combine like terms: 22 + -22 = 0
0 + -13w = -30 + -22
-13w = -30 + -22

Combine like terms: -30 + -22 = -52
-13w = -52

Divide each side by '-13'.
w = 4

Simplifying
w = 4

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