13-3(t-3)=4(t-5)

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Solution for 13-3(t-3)=4(t-5) equation: 


Simplifying
13 + -3(t + -3) = 4(t + -5)

Reorder the terms:
13 + -3(-3 + t) = 4(t + -5)
13 + (-3 * -3 + t * -3) = 4(t + -5)
13 + (9 + -3t) = 4(t + -5)

Combine like terms: 13 + 9 = 22
22 + -3t = 4(t + -5)

Reorder the terms:
22 + -3t = 4(-5 + t)
22 + -3t = (-5 * 4 + t * 4)
22 + -3t = (-20 + 4t)

Solving
22 + -3t = -20 + 4t

Solving for variable 't'.

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

Add '-4t' to each side of the equation.
22 + -3t + -4t = -20 + 4t + -4t

Combine like terms: -3t + -4t = -7t
22 + -7t = -20 + 4t + -4t

Combine like terms: 4t + -4t = 0
22 + -7t = -20 + 0
22 + -7t = -20

Add '-22' to each side of the equation.
22 + -22 + -7t = -20 + -22

Combine like terms: 22 + -22 = 0
0 + -7t = -20 + -22
-7t = -20 + -22

Combine like terms: -20 + -22 = -42
-7t = -42

Divide each side by '-7'.
t = 6

Simplifying
t = 6

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