6*t-4*t+10=7*t+8-3t+5

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Solution for 6*t-4*t+10=7*t+8-3t+5 equation: 


Simplifying
6t + -4t + 10 = 7t + 8 + -3t + 5

Reorder the terms:
10 + 6t + -4t = 7t + 8 + -3t + 5

Combine like terms: 6t + -4t = 2t
10 + 2t = 7t + 8 + -3t + 5

Reorder the terms:
10 + 2t = 8 + 5 + 7t + -3t

Combine like terms: 8 + 5 = 13
10 + 2t = 13 + 7t + -3t

Combine like terms: 7t + -3t = 4t
10 + 2t = 13 + 4t

Solving
10 + 2t = 13 + 4t

Solving for variable 't'.

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

Add '-4t' to each side of the equation.
10 + 2t + -4t = 13 + 4t + -4t

Combine like terms: 2t + -4t = -2t
10 + -2t = 13 + 4t + -4t

Combine like terms: 4t + -4t = 0
10 + -2t = 13 + 0
10 + -2t = 13

Add '-10' to each side of the equation.
10 + -10 + -2t = 13 + -10

Combine like terms: 10 + -10 = 0
0 + -2t = 13 + -10
-2t = 13 + -10

Combine like terms: 13 + -10 = 3
-2t = 3

Divide each side by '-2'.
t = -1.5

Simplifying
t = -1.5

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