3[5-3(3-t)]-6=5[3(5t-6)+14]-29

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Solution for 3[5-3(3-t)]-6=5[3(5t-6)+14]-29 equation: 


Simplifying
3[5 + -3(3 + -1t)] + -6 = 5[3(5t + -6) + 14] + -29
3[5 + (3 * -3 + -1t * -3)] + -6 = 5[3(5t + -6) + 14] + -29
3[5 + (-9 + 3t)] + -6 = 5[3(5t + -6) + 14] + -29

Combine like terms: 5 + -9 = -4
3[-4 + 3t] + -6 = 5[3(5t + -6) + 14] + -29
[-4 * 3 + 3t * 3] + -6 = 5[3(5t + -6) + 14] + -29
[-12 + 9t] + -6 = 5[3(5t + -6) + 14] + -29

Reorder the terms:
-12 + -6 + 9t = 5[3(5t + -6) + 14] + -29

Combine like terms: -12 + -6 = -18
-18 + 9t = 5[3(5t + -6) + 14] + -29

Reorder the terms:
-18 + 9t = 5[3(-6 + 5t) + 14] + -29
-18 + 9t = 5[(-6 * 3 + 5t * 3) + 14] + -29
-18 + 9t = 5[(-18 + 15t) + 14] + -29

Reorder the terms:
-18 + 9t = 5[-18 + 14 + 15t] + -29

Combine like terms: -18 + 14 = -4
-18 + 9t = 5[-4 + 15t] + -29
-18 + 9t = [-4 * 5 + 15t * 5] + -29
-18 + 9t = [-20 + 75t] + -29

Reorder the terms:
-18 + 9t = -20 + -29 + 75t

Combine like terms: -20 + -29 = -49
-18 + 9t = -49 + 75t

Solving
-18 + 9t = -49 + 75t

Solving for variable 't'.

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

Add '-75t' to each side of the equation.
-18 + 9t + -75t = -49 + 75t + -75t

Combine like terms: 9t + -75t = -66t
-18 + -66t = -49 + 75t + -75t

Combine like terms: 75t + -75t = 0
-18 + -66t = -49 + 0
-18 + -66t = -49

Add '18' to each side of the equation.
-18 + 18 + -66t = -49 + 18

Combine like terms: -18 + 18 = 0
0 + -66t = -49 + 18
-66t = -49 + 18

Combine like terms: -49 + 18 = -31
-66t = -31

Divide each side by '-66'.
t = 0.4696969697

Simplifying
t = 0.4696969697

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