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

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


Simplifying
5(2x + 3t) + -4(x + -3t) = 0

Reorder the terms:
5(3t + 2x) + -4(x + -3t) = 0
(3t * 5 + 2x * 5) + -4(x + -3t) = 0
(15t + 10x) + -4(x + -3t) = 0

Reorder the terms:
15t + 10x + -4(-3t + x) = 0
15t + 10x + (-3t * -4 + x * -4) = 0
15t + 10x + (12t + -4x) = 0

Reorder the terms:
15t + 12t + 10x + -4x = 0

Combine like terms: 15t + 12t = 27t
27t + 10x + -4x = 0

Combine like terms: 10x + -4x = 6x
27t + 6x = 0

Solving
27t + 6x = 0

Solving for variable 't'.

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

Add '-6x' to each side of the equation.
27t + 6x + -6x = 0 + -6x

Combine like terms: 6x + -6x = 0
27t + 0 = 0 + -6x
27t = 0 + -6x
Remove the zero:
27t = -6x

Divide each side by '27'.
t = -0.2222222222x

Simplifying
t = -0.2222222222x

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