5(2t+3)=2t+11

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Solution for 5(2t+3)=2t+11 equation:


Simplifying
5(2t + 3) = 2t + 11

Reorder the terms:
5(3 + 2t) = 2t + 11
(3 * 5 + 2t * 5) = 2t + 11
(15 + 10t) = 2t + 11

Reorder the terms:
15 + 10t = 11 + 2t

Solving
15 + 10t = 11 + 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.
15 + 10t + -2t = 11 + 2t + -2t

Combine like terms: 10t + -2t = 8t
15 + 8t = 11 + 2t + -2t

Combine like terms: 2t + -2t = 0
15 + 8t = 11 + 0
15 + 8t = 11

Add '-15' to each side of the equation.
15 + -15 + 8t = 11 + -15

Combine like terms: 15 + -15 = 0
0 + 8t = 11 + -15
8t = 11 + -15

Combine like terms: 11 + -15 = -4
8t = -4

Divide each side by '8'.
t = -0.5

Simplifying
t = -0.5

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