5t-3-t+8=2t-7

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Solution for 5t-3-t+8=2t-7 equation:


Simplifying
5t + -3 + -1t + 8 = 2t + -7

Reorder the terms:
-3 + 8 + 5t + -1t = 2t + -7

Combine like terms: -3 + 8 = 5
5 + 5t + -1t = 2t + -7

Combine like terms: 5t + -1t = 4t
5 + 4t = 2t + -7

Reorder the terms:
5 + 4t = -7 + 2t

Solving
5 + 4t = -7 + 2t

Solving for variable 't'.

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

Add '-2t' to each side of the equation.
5 + 4t + -2t = -7 + 2t + -2t

Combine like terms: 4t + -2t = 2t
5 + 2t = -7 + 2t + -2t

Combine like terms: 2t + -2t = 0
5 + 2t = -7 + 0
5 + 2t = -7

Add '-5' to each side of the equation.
5 + -5 + 2t = -7 + -5

Combine like terms: 5 + -5 = 0
0 + 2t = -7 + -5
2t = -7 + -5

Combine like terms: -7 + -5 = -12
2t = -12

Divide each side by '2'.
t = -6

Simplifying
t = -6

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