5[3(7-t)-4(8+2t)]-20=6[2(6+3t)-4]

Solution for 5[3(7-t)-4(8+2t)]-20=6[2(6+3t)-4] equation:

Simplifying
5[3(7 + -1t) + -4(8 + 2t)] + -20 = 6[2(6 + 3t) + -4]
5[(7 * 3 + -1t * 3) + -4(8 + 2t)] + -20 = 6[2(6 + 3t) + -4]
5[(21 + -3t) + -4(8 + 2t)] + -20 = 6[2(6 + 3t) + -4]
5[21 + -3t + (8 * -4 + 2t * -4)] + -20 = 6[2(6 + 3t) + -4]
5[21 + -3t + (-32 + -8t)] + -20 = 6[2(6 + 3t) + -4]

Reorder the terms:
5[21 + -32 + -3t + -8t] + -20 = 6[2(6 + 3t) + -4]

Combine like terms: 21 + -32 = -11
5[-11 + -3t + -8t] + -20 = 6[2(6 + 3t) + -4]

Combine like terms: -3t + -8t = -11t
5[-11 + -11t] + -20 = 6[2(6 + 3t) + -4]
[-11 * 5 + -11t * 5] + -20 = 6[2(6 + 3t) + -4]
[-55 + -55t] + -20 = 6[2(6 + 3t) + -4]

Reorder the terms:
-55 + -20 + -55t = 6[2(6 + 3t) + -4]

Combine like terms: -55 + -20 = -75
-75 + -55t = 6[2(6 + 3t) + -4]
-75 + -55t = 6[(6 * 2 + 3t * 2) + -4]
-75 + -55t = 6[(12 + 6t) + -4]

Reorder the terms:
-75 + -55t = 6[12 + -4 + 6t]

Combine like terms: 12 + -4 = 8
-75 + -55t = 6[8 + 6t]
-75 + -55t = [8 * 6 + 6t * 6]
-75 + -55t = [48 + 36t]

Solving
-75 + -55t = 48 + 36t

Solving for variable 't'.

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

Add '-36t' to each side of the equation.
-75 + -55t + -36t = 48 + 36t + -36t

Combine like terms: -55t + -36t = -91t
-75 + -91t = 48 + 36t + -36t

Combine like terms: 36t + -36t = 0
-75 + -91t = 48 + 0
-75 + -91t = 48

Add '75' to each side of the equation.
-75 + 75 + -91t = 48 + 75

Combine like terms: -75 + 75 = 0
0 + -91t = 48 + 75
-91t = 48 + 75

Combine like terms: 48 + 75 = 123
-91t = 123

Divide each side by '-91'.
t = -1.351648352

Simplifying
t = -1.351648352