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

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


Simplifying
5 + -1(t + 3) = 3(x + -2)

Reorder the terms:
5 + -1(3 + t) = 3(x + -2)
5 + (3 * -1 + t * -1) = 3(x + -2)
5 + (-3 + -1t) = 3(x + -2)

Combine like terms: 5 + -3 = 2
2 + -1t = 3(x + -2)

Reorder the terms:
2 + -1t = 3(-2 + x)
2 + -1t = (-2 * 3 + x * 3)
2 + -1t = (-6 + 3x)

Solving
2 + -1t = -6 + 3x

Solving for variable 't'.

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

Add '-2' to each side of the equation.
2 + -2 + -1t = -6 + -2 + 3x

Combine like terms: 2 + -2 = 0
0 + -1t = -6 + -2 + 3x
-1t = -6 + -2 + 3x

Combine like terms: -6 + -2 = -8
-1t = -8 + 3x

Divide each side by '-1'.
t = 8 + -3x

Simplifying
t = 8 + -3x

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