3[4-3(4-T)]-5=4[3(4T-5)+10]-29

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Solution for 3[4-3(4-T)]-5=4[3(4T-5)+10]-29 equation: 


Simplifying
3[4 + -3(4 + -1T)] + -5 = 4[3(4T + -5) + 10] + -29
3[4 + (4 * -3 + -1T * -3)] + -5 = 4[3(4T + -5) + 10] + -29
3[4 + (-12 + 3T)] + -5 = 4[3(4T + -5) + 10] + -29

Combine like terms: 4 + -12 = -8
3[-8 + 3T] + -5 = 4[3(4T + -5) + 10] + -29
[-8 * 3 + 3T * 3] + -5 = 4[3(4T + -5) + 10] + -29
[-24 + 9T] + -5 = 4[3(4T + -5) + 10] + -29

Reorder the terms:
-24 + -5 + 9T = 4[3(4T + -5) + 10] + -29

Combine like terms: -24 + -5 = -29
-29 + 9T = 4[3(4T + -5) + 10] + -29

Reorder the terms:
-29 + 9T = 4[3(-5 + 4T) + 10] + -29
-29 + 9T = 4[(-5 * 3 + 4T * 3) + 10] + -29
-29 + 9T = 4[(-15 + 12T) + 10] + -29

Reorder the terms:
-29 + 9T = 4[-15 + 10 + 12T] + -29

Combine like terms: -15 + 10 = -5
-29 + 9T = 4[-5 + 12T] + -29
-29 + 9T = [-5 * 4 + 12T * 4] + -29
-29 + 9T = [-20 + 48T] + -29

Reorder the terms:
-29 + 9T = -20 + -29 + 48T

Combine like terms: -20 + -29 = -49
-29 + 9T = -49 + 48T

Solving
-29 + 9T = -49 + 48T

Solving for variable 'T'.

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

Add '-48T' to each side of the equation.
-29 + 9T + -48T = -49 + 48T + -48T

Combine like terms: 9T + -48T = -39T
-29 + -39T = -49 + 48T + -48T

Combine like terms: 48T + -48T = 0
-29 + -39T = -49 + 0
-29 + -39T = -49

Add '29' to each side of the equation.
-29 + 29 + -39T = -49 + 29

Combine like terms: -29 + 29 = 0
0 + -39T = -49 + 29
-39T = -49 + 29

Combine like terms: -49 + 29 = -20
-39T = -20

Divide each side by '-39'.
T = 0.5128205128

Simplifying
T = 0.5128205128

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