3t-2=5(t-2)-2(t-4)

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Solution for 3t-2=5(t-2)-2(t-4) equation: 


Simplifying
3t + -2 = 5(t + -2) + -2(t + -4)

Reorder the terms:
-2 + 3t = 5(t + -2) + -2(t + -4)

Reorder the terms:
-2 + 3t = 5(-2 + t) + -2(t + -4)
-2 + 3t = (-2 * 5 + t * 5) + -2(t + -4)
-2 + 3t = (-10 + 5t) + -2(t + -4)

Reorder the terms:
-2 + 3t = -10 + 5t + -2(-4 + t)
-2 + 3t = -10 + 5t + (-4 * -2 + t * -2)
-2 + 3t = -10 + 5t + (8 + -2t)

Reorder the terms:
-2 + 3t = -10 + 8 + 5t + -2t

Combine like terms: -10 + 8 = -2
-2 + 3t = -2 + 5t + -2t

Combine like terms: 5t + -2t = 3t
-2 + 3t = -2 + 3t

Add '2' to each side of the equation.
-2 + 2 + 3t = -2 + 2 + 3t

Combine like terms: -2 + 2 = 0
0 + 3t = -2 + 2 + 3t
3t = -2 + 2 + 3t

Combine like terms: -2 + 2 = 0
3t = 0 + 3t
3t = 3t

Add '-3t' to each side of the equation.
3t + -3t = 3t + -3t

Combine like terms: 3t + -3t = 0
0 = 3t + -3t

Combine like terms: 3t + -3t = 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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