3(w-2)+5=2(3w-5)

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Solution for 3(w-2)+5=2(3w-5) equation:


Simplifying
3(w + -2) + 5 = 2(3w + -5)

Reorder the terms:
3(-2 + w) + 5 = 2(3w + -5)
(-2 * 3 + w * 3) + 5 = 2(3w + -5)
(-6 + 3w) + 5 = 2(3w + -5)

Reorder the terms:
-6 + 5 + 3w = 2(3w + -5)

Combine like terms: -6 + 5 = -1
-1 + 3w = 2(3w + -5)

Reorder the terms:
-1 + 3w = 2(-5 + 3w)
-1 + 3w = (-5 * 2 + 3w * 2)
-1 + 3w = (-10 + 6w)

Solving
-1 + 3w = -10 + 6w

Solving for variable 'w'.

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

Add '-6w' to each side of the equation.
-1 + 3w + -6w = -10 + 6w + -6w

Combine like terms: 3w + -6w = -3w
-1 + -3w = -10 + 6w + -6w

Combine like terms: 6w + -6w = 0
-1 + -3w = -10 + 0
-1 + -3w = -10

Add '1' to each side of the equation.
-1 + 1 + -3w = -10 + 1

Combine like terms: -1 + 1 = 0
0 + -3w = -10 + 1
-3w = -10 + 1

Combine like terms: -10 + 1 = -9
-3w = -9

Divide each side by '-3'.
w = 3

Simplifying
w = 3

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