4t-2=5(t+5)

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


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

Reorder the terms:
-2 + 4t = 5(t + 5)

Reorder the terms:
-2 + 4t = 5(5 + t)
-2 + 4t = (5 * 5 + t * 5)
-2 + 4t = (25 + 5t)

Solving
-2 + 4t = 25 + 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.
-2 + 4t + -5t = 25 + 5t + -5t

Combine like terms: 4t + -5t = -1t
-2 + -1t = 25 + 5t + -5t

Combine like terms: 5t + -5t = 0
-2 + -1t = 25 + 0
-2 + -1t = 25

Add '2' to each side of the equation.
-2 + 2 + -1t = 25 + 2

Combine like terms: -2 + 2 = 0
0 + -1t = 25 + 2
-1t = 25 + 2

Combine like terms: 25 + 2 = 27
-1t = 27

Divide each side by '-1'.
t = -27

Simplifying
t = -27

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