0.4(2t+6)+0.1=0.5(2t-3)

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Solution for 0.4(2t+6)+0.1=0.5(2t-3) equation:


Simplifying
0.4(2t + 6) + 0.1 = 0.5(2t + -3)

Reorder the terms:
0.4(6 + 2t) + 0.1 = 0.5(2t + -3)
(6 * 0.4 + 2t * 0.4) + 0.1 = 0.5(2t + -3)
(2.4 + 0.8t) + 0.1 = 0.5(2t + -3)

Reorder the terms:
2.4 + 0.1 + 0.8t = 0.5(2t + -3)

Combine like terms: 2.4 + 0.1 = 2.5
2.5 + 0.8t = 0.5(2t + -3)

Reorder the terms:
2.5 + 0.8t = 0.5(-3 + 2t)
2.5 + 0.8t = (-3 * 0.5 + 2t * 0.5)
2.5 + 0.8t = (-1.5 + 1t)

Solving
2.5 + 0.8t = -1.5 + 1t

Solving for variable 't'.

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

Add '-1t' to each side of the equation.
2.5 + 0.8t + -1t = -1.5 + 1t + -1t

Combine like terms: 0.8t + -1t = -0.2t
2.5 + -0.2t = -1.5 + 1t + -1t

Combine like terms: 1t + -1t = 0
2.5 + -0.2t = -1.5 + 0
2.5 + -0.2t = -1.5

Add '-2.5' to each side of the equation.
2.5 + -2.5 + -0.2t = -1.5 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -0.2t = -1.5 + -2.5
-0.2t = -1.5 + -2.5

Combine like terms: -1.5 + -2.5 = -4
-0.2t = -4

Divide each side by '-0.2'.
t = 20

Simplifying
t = 20

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