2(5w-3)-6=3(3w+1)+5(w-3)-4w

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Solution for 2(5w-3)-6=3(3w+1)+5(w-3)-4w equation: 


Simplifying
2(5w + -3) + -6 = 3(3w + 1) + 5(w + -3) + -4w

Reorder the terms:
2(-3 + 5w) + -6 = 3(3w + 1) + 5(w + -3) + -4w
(-3 * 2 + 5w * 2) + -6 = 3(3w + 1) + 5(w + -3) + -4w
(-6 + 10w) + -6 = 3(3w + 1) + 5(w + -3) + -4w

Reorder the terms:
-6 + -6 + 10w = 3(3w + 1) + 5(w + -3) + -4w

Combine like terms: -6 + -6 = -12
-12 + 10w = 3(3w + 1) + 5(w + -3) + -4w

Reorder the terms:
-12 + 10w = 3(1 + 3w) + 5(w + -3) + -4w
-12 + 10w = (1 * 3 + 3w * 3) + 5(w + -3) + -4w
-12 + 10w = (3 + 9w) + 5(w + -3) + -4w

Reorder the terms:
-12 + 10w = 3 + 9w + 5(-3 + w) + -4w
-12 + 10w = 3 + 9w + (-3 * 5 + w * 5) + -4w
-12 + 10w = 3 + 9w + (-15 + 5w) + -4w

Reorder the terms:
-12 + 10w = 3 + -15 + 9w + 5w + -4w

Combine like terms: 3 + -15 = -12
-12 + 10w = -12 + 9w + 5w + -4w

Combine like terms: 9w + 5w = 14w
-12 + 10w = -12 + 14w + -4w

Combine like terms: 14w + -4w = 10w
-12 + 10w = -12 + 10w

Add '12' to each side of the equation.
-12 + 12 + 10w = -12 + 12 + 10w

Combine like terms: -12 + 12 = 0
0 + 10w = -12 + 12 + 10w
10w = -12 + 12 + 10w

Combine like terms: -12 + 12 = 0
10w = 0 + 10w
10w = 10w

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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