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

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


Simplifying
5(2 + -4t) + 3t = 5t + 7
(2 * 5 + -4t * 5) + 3t = 5t + 7
(10 + -20t) + 3t = 5t + 7

Combine like terms: -20t + 3t = -17t
10 + -17t = 5t + 7

Reorder the terms:
10 + -17t = 7 + 5t

Solving
10 + -17t = 7 + 5t

Solving for variable 't'.

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

Add '-5t' to each side of the equation.
10 + -17t + -5t = 7 + 5t + -5t

Combine like terms: -17t + -5t = -22t
10 + -22t = 7 + 5t + -5t

Combine like terms: 5t + -5t = 0
10 + -22t = 7 + 0
10 + -22t = 7

Add '-10' to each side of the equation.
10 + -10 + -22t = 7 + -10

Combine like terms: 10 + -10 = 0
0 + -22t = 7 + -10
-22t = 7 + -10

Combine like terms: 7 + -10 = -3
-22t = -3

Divide each side by '-22'.
t = 0.1363636364

Simplifying
t = 0.1363636364

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