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

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


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

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

Reorder the terms:
5 + 4t + -2t = 3 + -4(2t + 3)

Combine like terms: 4t + -2t = 2t
5 + 2t = 3 + -4(2t + 3)

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

Combine like terms: 3 + -12 = -9
5 + 2t = -9 + -8t

Solving
5 + 2t = -9 + -8t

Solving for variable 't'.

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

Add '8t' to each side of the equation.
5 + 2t + 8t = -9 + -8t + 8t

Combine like terms: 2t + 8t = 10t
5 + 10t = -9 + -8t + 8t

Combine like terms: -8t + 8t = 0
5 + 10t = -9 + 0
5 + 10t = -9

Add '-5' to each side of the equation.
5 + -5 + 10t = -9 + -5

Combine like terms: 5 + -5 = 0
0 + 10t = -9 + -5
10t = -9 + -5

Combine like terms: -9 + -5 = -14
10t = -14

Divide each side by '10'.
t = -1.4

Simplifying
t = -1.4

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