t*2+1=2t*3+2

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Solution for t*2+1=2t*3+2 equation:


Simplifying
t * 2 + 1 = 2t * 3 + 2

Reorder the terms for easier multiplication:
2t + 1 = 2t * 3 + 2

Reorder the terms:
1 + 2t = 2t * 3 + 2

Reorder the terms for easier multiplication:
1 + 2t = 2 * 3t + 2

Multiply 2 * 3
1 + 2t = 6t + 2

Reorder the terms:
1 + 2t = 2 + 6t

Solving
1 + 2t = 2 + 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.
1 + 2t + -6t = 2 + 6t + -6t

Combine like terms: 2t + -6t = -4t
1 + -4t = 2 + 6t + -6t

Combine like terms: 6t + -6t = 0
1 + -4t = 2 + 0
1 + -4t = 2

Add '-1' to each side of the equation.
1 + -1 + -4t = 2 + -1

Combine like terms: 1 + -1 = 0
0 + -4t = 2 + -1
-4t = 2 + -1

Combine like terms: 2 + -1 = 1
-4t = 1

Divide each side by '-4'.
t = -0.25

Simplifying
t = -0.25

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