2[5-2(5-t)]-5=5[2(5t-3)+3]-29

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Solution for 2[5-2(5-t)]-5=5[2(5t-3)+3]-29 equation: 


Simplifying
2[5 + -2(5 + -1t)] + -5 = 5[2(5t + -3) + 3] + -29
2[5 + (5 * -2 + -1t * -2)] + -5 = 5[2(5t + -3) + 3] + -29
2[5 + (-10 + 2t)] + -5 = 5[2(5t + -3) + 3] + -29

Combine like terms: 5 + -10 = -5
2[-5 + 2t] + -5 = 5[2(5t + -3) + 3] + -29
[-5 * 2 + 2t * 2] + -5 = 5[2(5t + -3) + 3] + -29
[-10 + 4t] + -5 = 5[2(5t + -3) + 3] + -29

Reorder the terms:
-10 + -5 + 4t = 5[2(5t + -3) + 3] + -29

Combine like terms: -10 + -5 = -15
-15 + 4t = 5[2(5t + -3) + 3] + -29

Reorder the terms:
-15 + 4t = 5[2(-3 + 5t) + 3] + -29
-15 + 4t = 5[(-3 * 2 + 5t * 2) + 3] + -29
-15 + 4t = 5[(-6 + 10t) + 3] + -29

Reorder the terms:
-15 + 4t = 5[-6 + 3 + 10t] + -29

Combine like terms: -6 + 3 = -3
-15 + 4t = 5[-3 + 10t] + -29
-15 + 4t = [-3 * 5 + 10t * 5] + -29
-15 + 4t = [-15 + 50t] + -29

Reorder the terms:
-15 + 4t = -15 + -29 + 50t

Combine like terms: -15 + -29 = -44
-15 + 4t = -44 + 50t

Solving
-15 + 4t = -44 + 50t

Solving for variable 't'.

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

Add '-50t' to each side of the equation.
-15 + 4t + -50t = -44 + 50t + -50t

Combine like terms: 4t + -50t = -46t
-15 + -46t = -44 + 50t + -50t

Combine like terms: 50t + -50t = 0
-15 + -46t = -44 + 0
-15 + -46t = -44

Add '15' to each side of the equation.
-15 + 15 + -46t = -44 + 15

Combine like terms: -15 + 15 = 0
0 + -46t = -44 + 15
-46t = -44 + 15

Combine like terms: -44 + 15 = -29
-46t = -29

Divide each side by '-46'.
t = 0.6304347826

Simplifying
t = 0.6304347826

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