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

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


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

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

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

Solving
8 + 2t = -6 + 3x

Solving for variable 't'.

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

Add '-8' to each side of the equation.
8 + -8 + 2t = -6 + -8 + 3x

Combine like terms: 8 + -8 = 0
0 + 2t = -6 + -8 + 3x
2t = -6 + -8 + 3x

Combine like terms: -6 + -8 = -14
2t = -14 + 3x

Divide each side by '2'.
t = -7 + 1.5x

Simplifying
t = -7 + 1.5x

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