5(3-t)-(2-3t)=10

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Solution for 5(3-t)-(2-3t)=10 equation: 


Simplifying
5(3 + -1t) + -1(2 + -3t) = 10
(3 * 5 + -1t * 5) + -1(2 + -3t) = 10
(15 + -5t) + -1(2 + -3t) = 10
15 + -5t + (2 * -1 + -3t * -1) = 10
15 + -5t + (-2 + 3t) = 10

Reorder the terms:
15 + -2 + -5t + 3t = 10

Combine like terms: 15 + -2 = 13
13 + -5t + 3t = 10

Combine like terms: -5t + 3t = -2t
13 + -2t = 10

Solving
13 + -2t = 10

Solving for variable 't'.

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

Add '-13' to each side of the equation.
13 + -13 + -2t = 10 + -13

Combine like terms: 13 + -13 = 0
0 + -2t = 10 + -13
-2t = 10 + -13

Combine like terms: 10 + -13 = -3
-2t = -3

Divide each side by '-2'.
t = 1.5

Simplifying
t = 1.5

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