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

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


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

Reorder the terms:
-4(-5 + t) + -1(t + 2) = 3
(-5 * -4 + t * -4) + -1(t + 2) = 3
(20 + -4t) + -1(t + 2) = 3

Reorder the terms:
20 + -4t + -1(2 + t) = 3
20 + -4t + (2 * -1 + t * -1) = 3
20 + -4t + (-2 + -1t) = 3

Reorder the terms:
20 + -2 + -4t + -1t = 3

Combine like terms: 20 + -2 = 18
18 + -4t + -1t = 3

Combine like terms: -4t + -1t = -5t
18 + -5t = 3

Solving
18 + -5t = 3

Solving for variable 't'.

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

Add '-18' to each side of the equation.
18 + -18 + -5t = 3 + -18

Combine like terms: 18 + -18 = 0
0 + -5t = 3 + -18
-5t = 3 + -18

Combine like terms: 3 + -18 = -15
-5t = -15

Divide each side by '-5'.
t = 3

Simplifying
t = 3

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