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

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


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

Reorder the terms:
-3(-5 + t) + -1(t + -2) = 10
(-5 * -3 + t * -3) + -1(t + -2) = 10
(15 + -3t) + -1(t + -2) = 10

Reorder the terms:
15 + -3t + -1(-2 + t) = 10
15 + -3t + (-2 * -1 + t * -1) = 10
15 + -3t + (2 + -1t) = 10

Reorder the terms:
15 + 2 + -3t + -1t = 10

Combine like terms: 15 + 2 = 17
17 + -3t + -1t = 10

Combine like terms: -3t + -1t = -4t
17 + -4t = 10

Solving
17 + -4t = 10

Solving for variable 't'.

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

Add '-17' to each side of the equation.
17 + -17 + -4t = 10 + -17

Combine like terms: 17 + -17 = 0
0 + -4t = 10 + -17
-4t = 10 + -17

Combine like terms: 10 + -17 = -7
-4t = -7

Divide each side by '-4'.
t = 1.75

Simplifying
t = 1.75

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