0=5-3(t-5)+4(2-t)

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Solution for 0=5-3(t-5)+4(2-t) equation: 


Simplifying
0 = 5 + -3(t + -5) + 4(2 + -1t)

Reorder the terms:
0 = 5 + -3(-5 + t) + 4(2 + -1t)
0 = 5 + (-5 * -3 + t * -3) + 4(2 + -1t)
0 = 5 + (15 + -3t) + 4(2 + -1t)
0 = 5 + 15 + -3t + (2 * 4 + -1t * 4)
0 = 5 + 15 + -3t + (8 + -4t)

Reorder the terms:
0 = 5 + 15 + 8 + -3t + -4t

Combine like terms: 5 + 15 = 20
0 = 20 + 8 + -3t + -4t

Combine like terms: 20 + 8 = 28
0 = 28 + -3t + -4t

Combine like terms: -3t + -4t = -7t
0 = 28 + -7t

Solving
0 = 28 + -7t

Solving for variable 't'.

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

Add '7t' to each side of the equation.
0 + 7t = 28 + -7t + 7t
Remove the zero:
7t = 28 + -7t + 7t

Combine like terms: -7t + 7t = 0
7t = 28 + 0
7t = 28

Divide each side by '7'.
t = 4

Simplifying
t = 4

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