5(2t-5)+8t=7t-6

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Solution for 5(2t-5)+8t=7t-6 equation:


Simplifying
5(2t + -5) + 8t = 7t + -6

Reorder the terms:
5(-5 + 2t) + 8t = 7t + -6
(-5 * 5 + 2t * 5) + 8t = 7t + -6
(-25 + 10t) + 8t = 7t + -6

Combine like terms: 10t + 8t = 18t
-25 + 18t = 7t + -6

Reorder the terms:
-25 + 18t = -6 + 7t

Solving
-25 + 18t = -6 + 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.
-25 + 18t + -7t = -6 + 7t + -7t

Combine like terms: 18t + -7t = 11t
-25 + 11t = -6 + 7t + -7t

Combine like terms: 7t + -7t = 0
-25 + 11t = -6 + 0
-25 + 11t = -6

Add '25' to each side of the equation.
-25 + 25 + 11t = -6 + 25

Combine like terms: -25 + 25 = 0
0 + 11t = -6 + 25
11t = -6 + 25

Combine like terms: -6 + 25 = 19
11t = 19

Divide each side by '11'.
t = 1.727272727

Simplifying
t = 1.727272727

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