2[3-2(4-t)]-7=3[2(3t-4)+5]-31

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Solution for 2[3-2(4-t)]-7=3[2(3t-4)+5]-31 equation: 


Simplifying
2[3 + -2(4 + -1t)] + -7 = 3[2(3t + -4) + 5] + -31
2[3 + (4 * -2 + -1t * -2)] + -7 = 3[2(3t + -4) + 5] + -31
2[3 + (-8 + 2t)] + -7 = 3[2(3t + -4) + 5] + -31

Combine like terms: 3 + -8 = -5
2[-5 + 2t] + -7 = 3[2(3t + -4) + 5] + -31
[-5 * 2 + 2t * 2] + -7 = 3[2(3t + -4) + 5] + -31
[-10 + 4t] + -7 = 3[2(3t + -4) + 5] + -31

Reorder the terms:
-10 + -7 + 4t = 3[2(3t + -4) + 5] + -31

Combine like terms: -10 + -7 = -17
-17 + 4t = 3[2(3t + -4) + 5] + -31

Reorder the terms:
-17 + 4t = 3[2(-4 + 3t) + 5] + -31
-17 + 4t = 3[(-4 * 2 + 3t * 2) + 5] + -31
-17 + 4t = 3[(-8 + 6t) + 5] + -31

Reorder the terms:
-17 + 4t = 3[-8 + 5 + 6t] + -31

Combine like terms: -8 + 5 = -3
-17 + 4t = 3[-3 + 6t] + -31
-17 + 4t = [-3 * 3 + 6t * 3] + -31
-17 + 4t = [-9 + 18t] + -31

Reorder the terms:
-17 + 4t = -9 + -31 + 18t

Combine like terms: -9 + -31 = -40
-17 + 4t = -40 + 18t

Solving
-17 + 4t = -40 + 18t

Solving for variable 't'.

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

Add '-18t' to each side of the equation.
-17 + 4t + -18t = -40 + 18t + -18t

Combine like terms: 4t + -18t = -14t
-17 + -14t = -40 + 18t + -18t

Combine like terms: 18t + -18t = 0
-17 + -14t = -40 + 0
-17 + -14t = -40

Add '17' to each side of the equation.
-17 + 17 + -14t = -40 + 17

Combine like terms: -17 + 17 = 0
0 + -14t = -40 + 17
-14t = -40 + 17

Combine like terms: -40 + 17 = -23
-14t = -23

Divide each side by '-14'.
t = 1.642857143

Simplifying
t = 1.642857143

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