6-3t=4(2t+7)

Solution for 6-3t=4(2t+7) equation:

Simplifying
6 + -3t = 4(2t + 7)

Reorder the terms:
6 + -3t = 4(7 + 2t)
6 + -3t = (7 * 4 + 2t * 4)
6 + -3t = (28 + 8t)

Solving
6 + -3t = 28 + 8t

Solving for variable 't'.

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

Add '-8t' to each side of the equation.
6 + -3t + -8t = 28 + 8t + -8t

Combine like terms: -3t + -8t = -11t
6 + -11t = 28 + 8t + -8t

Combine like terms: 8t + -8t = 0
6 + -11t = 28 + 0
6 + -11t = 28

Add '-6' to each side of the equation.
6 + -6 + -11t = 28 + -6

Combine like terms: 6 + -6 = 0
0 + -11t = 28 + -6
-11t = 28 + -6

Combine like terms: 28 + -6 = 22
-11t = 22

Divide each side by '-11'.
t = -2

Simplifying
t = -2