4t-5=5(t+3)

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


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

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

Reorder the terms:
-5 + 4t = 5(3 + t)
-5 + 4t = (3 * 5 + t * 5)
-5 + 4t = (15 + 5t)

Solving
-5 + 4t = 15 + 5t

Solving for variable 't'.

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

Add '-5t' to each side of the equation.
-5 + 4t + -5t = 15 + 5t + -5t

Combine like terms: 4t + -5t = -1t
-5 + -1t = 15 + 5t + -5t

Combine like terms: 5t + -5t = 0
-5 + -1t = 15 + 0
-5 + -1t = 15

Add '5' to each side of the equation.
-5 + 5 + -1t = 15 + 5

Combine like terms: -5 + 5 = 0
0 + -1t = 15 + 5
-1t = 15 + 5

Combine like terms: 15 + 5 = 20
-1t = 20

Divide each side by '-1'.
t = -20

Simplifying
t = -20

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