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

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


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

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

Reorder the terms:
-10 + 5t = 4(4 + t)
-10 + 5t = (4 * 4 + t * 4)
-10 + 5t = (16 + 4t)

Solving
-10 + 5t = 16 + 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 = 16 + 4t + -4t

Combine like terms: 5t + -4t = 1t
-10 + 1t = 16 + 4t + -4t

Combine like terms: 4t + -4t = 0
-10 + 1t = 16 + 0
-10 + 1t = 16

Add '10' to each side of the equation.
-10 + 10 + 1t = 16 + 10

Combine like terms: -10 + 10 = 0
0 + 1t = 16 + 10
1t = 16 + 10

Combine like terms: 16 + 10 = 26
1t = 26

Divide each side by '1'.
t = 26

Simplifying
t = 26

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