5w+12-2w+7=3(w-4)+2w-7

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Solution for 5w+12-2w+7=3(w-4)+2w-7 equation:


Simplifying
5w + 12 + -2w + 7 = 3(w + -4) + 2w + -7

Reorder the terms:
12 + 7 + 5w + -2w = 3(w + -4) + 2w + -7

Combine like terms: 12 + 7 = 19
19 + 5w + -2w = 3(w + -4) + 2w + -7

Combine like terms: 5w + -2w = 3w
19 + 3w = 3(w + -4) + 2w + -7

Reorder the terms:
19 + 3w = 3(-4 + w) + 2w + -7
19 + 3w = (-4 * 3 + w * 3) + 2w + -7
19 + 3w = (-12 + 3w) + 2w + -7

Reorder the terms:
19 + 3w = -12 + -7 + 3w + 2w

Combine like terms: -12 + -7 = -19
19 + 3w = -19 + 3w + 2w

Combine like terms: 3w + 2w = 5w
19 + 3w = -19 + 5w

Solving
19 + 3w = -19 + 5w

Solving for variable 'w'.

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

Add '-5w' to each side of the equation.
19 + 3w + -5w = -19 + 5w + -5w

Combine like terms: 3w + -5w = -2w
19 + -2w = -19 + 5w + -5w

Combine like terms: 5w + -5w = 0
19 + -2w = -19 + 0
19 + -2w = -19

Add '-19' to each side of the equation.
19 + -19 + -2w = -19 + -19

Combine like terms: 19 + -19 = 0
0 + -2w = -19 + -19
-2w = -19 + -19

Combine like terms: -19 + -19 = -38
-2w = -38

Divide each side by '-2'.
w = 19

Simplifying
w = 19

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