-2(t-4)+5t=7t-3

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Solution for -2(t-4)+5t=7t-3 equation:


Simplifying
-2(t + -4) + 5t = 7t + -3

Reorder the terms:
-2(-4 + t) + 5t = 7t + -3
(-4 * -2 + t * -2) + 5t = 7t + -3
(8 + -2t) + 5t = 7t + -3

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

Reorder the terms:
8 + 3t = -3 + 7t

Solving
8 + 3t = -3 + 7t

Solving for variable 't'.

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

Add '-7t' to each side of the equation.
8 + 3t + -7t = -3 + 7t + -7t

Combine like terms: 3t + -7t = -4t
8 + -4t = -3 + 7t + -7t

Combine like terms: 7t + -7t = 0
8 + -4t = -3 + 0
8 + -4t = -3

Add '-8' to each side of the equation.
8 + -8 + -4t = -3 + -8

Combine like terms: 8 + -8 = 0
0 + -4t = -3 + -8
-4t = -3 + -8

Combine like terms: -3 + -8 = -11
-4t = -11

Divide each side by '-4'.
t = 2.75

Simplifying
t = 2.75

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