3(t-5)=12-4(t-2)

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Solution for 3(t-5)=12-4(t-2) equation: 


Simplifying
3(t + -5) = 12 + -4(t + -2)

Reorder the terms:
3(-5 + t) = 12 + -4(t + -2)
(-5 * 3 + t * 3) = 12 + -4(t + -2)
(-15 + 3t) = 12 + -4(t + -2)

Reorder the terms:
-15 + 3t = 12 + -4(-2 + t)
-15 + 3t = 12 + (-2 * -4 + t * -4)
-15 + 3t = 12 + (8 + -4t)

Combine like terms: 12 + 8 = 20
-15 + 3t = 20 + -4t

Solving
-15 + 3t = 20 + -4t

Solving for variable 't'.

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

Add '4t' to each side of the equation.
-15 + 3t + 4t = 20 + -4t + 4t

Combine like terms: 3t + 4t = 7t
-15 + 7t = 20 + -4t + 4t

Combine like terms: -4t + 4t = 0
-15 + 7t = 20 + 0
-15 + 7t = 20

Add '15' to each side of the equation.
-15 + 15 + 7t = 20 + 15

Combine like terms: -15 + 15 = 0
0 + 7t = 20 + 15
7t = 20 + 15

Combine like terms: 20 + 15 = 35
7t = 35

Divide each side by '7'.
t = 5

Simplifying
t = 5

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