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

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


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

Reorder the terms:
-3 + 5t = -2(4 + -3t)
-3 + 5t = (4 * -2 + -3t * -2)
-3 + 5t = (-8 + 6t)

Solving
-3 + 5t = -8 + 6t

Solving for variable 't'.

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

Add '-6t' to each side of the equation.
-3 + 5t + -6t = -8 + 6t + -6t

Combine like terms: 5t + -6t = -1t
-3 + -1t = -8 + 6t + -6t

Combine like terms: 6t + -6t = 0
-3 + -1t = -8 + 0
-3 + -1t = -8

Add '3' to each side of the equation.
-3 + 3 + -1t = -8 + 3

Combine like terms: -3 + 3 = 0
0 + -1t = -8 + 3
-1t = -8 + 3

Combine like terms: -8 + 3 = -5
-1t = -5

Divide each side by '-1'.
t = 5

Simplifying
t = 5

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