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

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


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

Reorder the terms:
5(2 + t) = 4(2t + -5)
(2 * 5 + t * 5) = 4(2t + -5)
(10 + 5t) = 4(2t + -5)

Reorder the terms:
10 + 5t = 4(-5 + 2t)
10 + 5t = (-5 * 4 + 2t * 4)
10 + 5t = (-20 + 8t)

Solving
10 + 5t = -20 + 8t

Solving for variable 't'.

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

Add '-8t' to each side of the equation.
10 + 5t + -8t = -20 + 8t + -8t

Combine like terms: 5t + -8t = -3t
10 + -3t = -20 + 8t + -8t

Combine like terms: 8t + -8t = 0
10 + -3t = -20 + 0
10 + -3t = -20

Add '-10' to each side of the equation.
10 + -10 + -3t = -20 + -10

Combine like terms: 10 + -10 = 0
0 + -3t = -20 + -10
-3t = -20 + -10

Combine like terms: -20 + -10 = -30
-3t = -30

Divide each side by '-3'.
t = 10

Simplifying
t = 10

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