2(3t+5)-4(2t-1)=1

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Solution for 2(3t+5)-4(2t-1)=1 equation: 


Simplifying
2(3t + 5) + -4(2t + -1) = 1

Reorder the terms:
2(5 + 3t) + -4(2t + -1) = 1
(5 * 2 + 3t * 2) + -4(2t + -1) = 1
(10 + 6t) + -4(2t + -1) = 1

Reorder the terms:
10 + 6t + -4(-1 + 2t) = 1
10 + 6t + (-1 * -4 + 2t * -4) = 1
10 + 6t + (4 + -8t) = 1

Reorder the terms:
10 + 4 + 6t + -8t = 1

Combine like terms: 10 + 4 = 14
14 + 6t + -8t = 1

Combine like terms: 6t + -8t = -2t
14 + -2t = 1

Solving
14 + -2t = 1

Solving for variable 't'.

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

Add '-14' to each side of the equation.
14 + -14 + -2t = 1 + -14

Combine like terms: 14 + -14 = 0
0 + -2t = 1 + -14
-2t = 1 + -14

Combine like terms: 1 + -14 = -13
-2t = -13

Divide each side by '-2'.
t = 6.5

Simplifying
t = 6.5

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