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

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


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

Reorder the terms:
5(2 + t) = 4(t + 3)
(2 * 5 + t * 5) = 4(t + 3)
(10 + 5t) = 4(t + 3)

Reorder the terms:
10 + 5t = 4(3 + t)
10 + 5t = (3 * 4 + t * 4)
10 + 5t = (12 + 4t)

Solving
10 + 5t = 12 + 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.
10 + 5t + -4t = 12 + 4t + -4t

Combine like terms: 5t + -4t = 1t
10 + 1t = 12 + 4t + -4t

Combine like terms: 4t + -4t = 0
10 + 1t = 12 + 0
10 + 1t = 12

Add '-10' to each side of the equation.
10 + -10 + 1t = 12 + -10

Combine like terms: 10 + -10 = 0
0 + 1t = 12 + -10
1t = 12 + -10

Combine like terms: 12 + -10 = 2
1t = 2

Divide each side by '1'.
t = 2

Simplifying
t = 2

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