2.6(t+2)=2(1.3t+2)1.2

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Solution for 2.6(t+2)=2(1.3t+2)1.2 equation:


Simplifying
2.6(t + 2) = 2(1.3t + 2) * 1.2

Reorder the terms:
2.6(2 + t) = 2(1.3t + 2) * 1.2
(2 * 2.6 + t * 2.6) = 2(1.3t + 2) * 1.2
(5.2 + 2.6t) = 2(1.3t + 2) * 1.2

Reorder the terms:
5.2 + 2.6t = 2(2 + 1.3t) * 1.2

Reorder the terms for easier multiplication:
5.2 + 2.6t = 2 * 1.2(2 + 1.3t)

Multiply 2 * 1.2
5.2 + 2.6t = 2.4(2 + 1.3t)
5.2 + 2.6t = (2 * 2.4 + 1.3t * 2.4)
5.2 + 2.6t = (4.8 + 3.12t)

Solving
5.2 + 2.6t = 4.8 + 3.12t

Solving for variable 't'.

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

Add '-3.12t' to each side of the equation.
5.2 + 2.6t + -3.12t = 4.8 + 3.12t + -3.12t

Combine like terms: 2.6t + -3.12t = -0.52t
5.2 + -0.52t = 4.8 + 3.12t + -3.12t

Combine like terms: 3.12t + -3.12t = 0.00
5.2 + -0.52t = 4.8 + 0.00
5.2 + -0.52t = 4.8

Add '-5.2' to each side of the equation.
5.2 + -5.2 + -0.52t = 4.8 + -5.2

Combine like terms: 5.2 + -5.2 = 0.0
0.0 + -0.52t = 4.8 + -5.2
-0.52t = 4.8 + -5.2

Combine like terms: 4.8 + -5.2 = -0.4
-0.52t = -0.4

Divide each side by '-0.52'.
t = 0.7692307692

Simplifying
t = 0.7692307692

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