4(2t+3)=3(4t+1)-5(3t-2)

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Solution for 4(2t+3)=3(4t+1)-5(3t-2) equation:


Simplifying
4(2t + 3) = 3(4t + 1) + -5(3t + -2)

Reorder the terms:
4(3 + 2t) = 3(4t + 1) + -5(3t + -2)
(3 * 4 + 2t * 4) = 3(4t + 1) + -5(3t + -2)
(12 + 8t) = 3(4t + 1) + -5(3t + -2)

Reorder the terms:
12 + 8t = 3(1 + 4t) + -5(3t + -2)
12 + 8t = (1 * 3 + 4t * 3) + -5(3t + -2)
12 + 8t = (3 + 12t) + -5(3t + -2)

Reorder the terms:
12 + 8t = 3 + 12t + -5(-2 + 3t)
12 + 8t = 3 + 12t + (-2 * -5 + 3t * -5)
12 + 8t = 3 + 12t + (10 + -15t)

Reorder the terms:
12 + 8t = 3 + 10 + 12t + -15t

Combine like terms: 3 + 10 = 13
12 + 8t = 13 + 12t + -15t

Combine like terms: 12t + -15t = -3t
12 + 8t = 13 + -3t

Solving
12 + 8t = 13 + -3t

Solving for variable 't'.

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

Add '3t' to each side of the equation.
12 + 8t + 3t = 13 + -3t + 3t

Combine like terms: 8t + 3t = 11t
12 + 11t = 13 + -3t + 3t

Combine like terms: -3t + 3t = 0
12 + 11t = 13 + 0
12 + 11t = 13

Add '-12' to each side of the equation.
12 + -12 + 11t = 13 + -12

Combine like terms: 12 + -12 = 0
0 + 11t = 13 + -12
11t = 13 + -12

Combine like terms: 13 + -12 = 1
11t = 1

Divide each side by '11'.
t = 0.09090909091

Simplifying
t = 0.09090909091

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