3[5-3(5-t)]-5=5[3(5t-5)+10]-45

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Solution for 3[5-3(5-t)]-5=5[3(5t-5)+10]-45 equation: 


Simplifying
3[5 + -3(5 + -1t)] + -5 = 5[3(5t + -5) + 10] + -45
3[5 + (5 * -3 + -1t * -3)] + -5 = 5[3(5t + -5) + 10] + -45
3[5 + (-15 + 3t)] + -5 = 5[3(5t + -5) + 10] + -45

Combine like terms: 5 + -15 = -10
3[-10 + 3t] + -5 = 5[3(5t + -5) + 10] + -45
[-10 * 3 + 3t * 3] + -5 = 5[3(5t + -5) + 10] + -45
[-30 + 9t] + -5 = 5[3(5t + -5) + 10] + -45

Reorder the terms:
-30 + -5 + 9t = 5[3(5t + -5) + 10] + -45

Combine like terms: -30 + -5 = -35
-35 + 9t = 5[3(5t + -5) + 10] + -45

Reorder the terms:
-35 + 9t = 5[3(-5 + 5t) + 10] + -45
-35 + 9t = 5[(-5 * 3 + 5t * 3) + 10] + -45
-35 + 9t = 5[(-15 + 15t) + 10] + -45

Reorder the terms:
-35 + 9t = 5[-15 + 10 + 15t] + -45

Combine like terms: -15 + 10 = -5
-35 + 9t = 5[-5 + 15t] + -45
-35 + 9t = [-5 * 5 + 15t * 5] + -45
-35 + 9t = [-25 + 75t] + -45

Reorder the terms:
-35 + 9t = -25 + -45 + 75t

Combine like terms: -25 + -45 = -70
-35 + 9t = -70 + 75t

Solving
-35 + 9t = -70 + 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.
-35 + 9t + -75t = -70 + 75t + -75t

Combine like terms: 9t + -75t = -66t
-35 + -66t = -70 + 75t + -75t

Combine like terms: 75t + -75t = 0
-35 + -66t = -70 + 0
-35 + -66t = -70

Add '35' to each side of the equation.
-35 + 35 + -66t = -70 + 35

Combine like terms: -35 + 35 = 0
0 + -66t = -70 + 35
-66t = -70 + 35

Combine like terms: -70 + 35 = -35
-66t = -35

Divide each side by '-66'.
t = 0.5303030303

Simplifying
t = 0.5303030303

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