4[5-4(4-t)]-2=5[4(5t-5)+15]-52

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Solution for 4[5-4(4-t)]-2=5[4(5t-5)+15]-52 equation: 


Simplifying
4[5 + -4(4 + -1t)] + -2 = 5[4(5t + -5) + 15] + -52
4[5 + (4 * -4 + -1t * -4)] + -2 = 5[4(5t + -5) + 15] + -52
4[5 + (-16 + 4t)] + -2 = 5[4(5t + -5) + 15] + -52

Combine like terms: 5 + -16 = -11
4[-11 + 4t] + -2 = 5[4(5t + -5) + 15] + -52
[-11 * 4 + 4t * 4] + -2 = 5[4(5t + -5) + 15] + -52
[-44 + 16t] + -2 = 5[4(5t + -5) + 15] + -52

Reorder the terms:
-44 + -2 + 16t = 5[4(5t + -5) + 15] + -52

Combine like terms: -44 + -2 = -46
-46 + 16t = 5[4(5t + -5) + 15] + -52

Reorder the terms:
-46 + 16t = 5[4(-5 + 5t) + 15] + -52
-46 + 16t = 5[(-5 * 4 + 5t * 4) + 15] + -52
-46 + 16t = 5[(-20 + 20t) + 15] + -52

Reorder the terms:
-46 + 16t = 5[-20 + 15 + 20t] + -52

Combine like terms: -20 + 15 = -5
-46 + 16t = 5[-5 + 20t] + -52
-46 + 16t = [-5 * 5 + 20t * 5] + -52
-46 + 16t = [-25 + 100t] + -52

Reorder the terms:
-46 + 16t = -25 + -52 + 100t

Combine like terms: -25 + -52 = -77
-46 + 16t = -77 + 100t

Solving
-46 + 16t = -77 + 100t

Solving for variable 't'.

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

Add '-100t' to each side of the equation.
-46 + 16t + -100t = -77 + 100t + -100t

Combine like terms: 16t + -100t = -84t
-46 + -84t = -77 + 100t + -100t

Combine like terms: 100t + -100t = 0
-46 + -84t = -77 + 0
-46 + -84t = -77

Add '46' to each side of the equation.
-46 + 46 + -84t = -77 + 46

Combine like terms: -46 + 46 = 0
0 + -84t = -77 + 46
-84t = -77 + 46

Combine like terms: -77 + 46 = -31
-84t = -31

Divide each side by '-84'.
t = 0.369047619

Simplifying
t = 0.369047619

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