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

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


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

Reorder the terms:
-4(2 + t) = 5(t + -3)
(2 * -4 + t * -4) = 5(t + -3)
(-8 + -4t) = 5(t + -3)

Reorder the terms:
-8 + -4t = 5(-3 + t)
-8 + -4t = (-3 * 5 + t * 5)
-8 + -4t = (-15 + 5t)

Solving
-8 + -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.
-8 + -4t + -5t = -15 + 5t + -5t

Combine like terms: -4t + -5t = -9t
-8 + -9t = -15 + 5t + -5t

Combine like terms: 5t + -5t = 0
-8 + -9t = -15 + 0
-8 + -9t = -15

Add '8' to each side of the equation.
-8 + 8 + -9t = -15 + 8

Combine like terms: -8 + 8 = 0
0 + -9t = -15 + 8
-9t = -15 + 8

Combine like terms: -15 + 8 = -7
-9t = -7

Divide each side by '-9'.
t = 0.7777777778

Simplifying
t = 0.7777777778

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