6+3(5t-4)=12(2t-2w)

Solution for 6+3(5t-4)=12(2t-2w) equation:

Simplifying
6 + 3(5t + -4) = 12(2t + -2w)

Reorder the terms:
6 + 3(-4 + 5t) = 12(2t + -2w)
6 + (-4 * 3 + 5t * 3) = 12(2t + -2w)
6 + (-12 + 15t) = 12(2t + -2w)

Combine like terms: 6 + -12 = -6
-6 + 15t = 12(2t + -2w)
-6 + 15t = (2t * 12 + -2w * 12)
-6 + 15t = (24t + -24w)

Solving
-6 + 15t = 24t + -24w

Solving for variable 't'.

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

Add '-24t' to each side of the equation.
-6 + 15t + -24t = 24t + -24t + -24w

Combine like terms: 15t + -24t = -9t
-6 + -9t = 24t + -24t + -24w

Combine like terms: 24t + -24t = 0
-6 + -9t = 0 + -24w
-6 + -9t = -24w

Add '6' to each side of the equation.
-6 + 6 + -9t = 6 + -24w

Combine like terms: -6 + 6 = 0
0 + -9t = 6 + -24w
-9t = 6 + -24w

Divide each side by '-9'.
t = -0.6666666667 + 2.666666667w

Simplifying
t = -0.6666666667 + 2.666666667w