6(t-1)=9(x+8)

Solution for 6(t-1)=9(x+8) equation:

Simplifying
6(t + -1) = 9(x + 8)

Reorder the terms:
6(-1 + t) = 9(x + 8)
(-1 * 6 + t * 6) = 9(x + 8)
(-6 + 6t) = 9(x + 8)

Reorder the terms:
-6 + 6t = 9(8 + x)
-6 + 6t = (8 * 9 + x * 9)
-6 + 6t = (72 + 9x)

Solving
-6 + 6t = 72 + 9x

Solving for variable 't'.

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

Add '6' to each side of the equation.
-6 + 6 + 6t = 72 + 6 + 9x

Combine like terms: -6 + 6 = 0
0 + 6t = 72 + 6 + 9x
6t = 72 + 6 + 9x

Combine like terms: 72 + 6 = 78
6t = 78 + 9x

Divide each side by '6'.
t = 13 + 1.5x

Simplifying
t = 13 + 1.5x