6t+3(5t-4)=12(x+12)

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Solution for 6t+3(5t-4)=12(x+12) equation:


Simplifying
6t + 3(5t + -4) = 12(x + 12)

Reorder the terms:
6t + 3(-4 + 5t) = 12(x + 12)
6t + (-4 * 3 + 5t * 3) = 12(x + 12)
6t + (-12 + 15t) = 12(x + 12)

Reorder the terms:
-12 + 6t + 15t = 12(x + 12)

Combine like terms: 6t + 15t = 21t
-12 + 21t = 12(x + 12)

Reorder the terms:
-12 + 21t = 12(12 + x)
-12 + 21t = (12 * 12 + x * 12)
-12 + 21t = (144 + 12x)

Solving
-12 + 21t = 144 + 12x

Solving for variable 't'.

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

Add '12' to each side of the equation.
-12 + 12 + 21t = 144 + 12 + 12x

Combine like terms: -12 + 12 = 0
0 + 21t = 144 + 12 + 12x
21t = 144 + 12 + 12x

Combine like terms: 144 + 12 = 156
21t = 156 + 12x

Divide each side by '21'.
t = 7.428571429 + 0.5714285714x

Simplifying
t = 7.428571429 + 0.5714285714x

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