4(2t+5)-21=7t+(-6)

Solution for 4(2t+5)-21=7t+(-6) equation:

Simplifying
4(2t + 5) + -21 = 7t + (-6)

Reorder the terms:
4(5 + 2t) + -21 = 7t + (-6)
(5 * 4 + 2t * 4) + -21 = 7t + (-6)
(20 + 8t) + -21 = 7t + (-6)

Reorder the terms:
20 + -21 + 8t = 7t + (-6)

Combine like terms: 20 + -21 = -1
-1 + 8t = 7t + (-6)
-1 + 8t = 7t + -6

Reorder the terms:
-1 + 8t = -6 + 7t

Solving
-1 + 8t = -6 + 7t

Solving for variable 't'.

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

Add '-7t' to each side of the equation.
-1 + 8t + -7t = -6 + 7t + -7t

Combine like terms: 8t + -7t = 1t
-1 + 1t = -6 + 7t + -7t

Combine like terms: 7t + -7t = 0
-1 + 1t = -6 + 0
-1 + 1t = -6

Add '1' to each side of the equation.
-1 + 1 + 1t = -6 + 1

Combine like terms: -1 + 1 = 0
0 + 1t = -6 + 1
1t = -6 + 1

Combine like terms: -6 + 1 = -5
1t = -5

Divide each side by '1'.
t = -5

Simplifying
t = -5