4s-t-5=2s+3t

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


Simplifying
4s + -1t + -5 = 2s + 3t

Reorder the terms:
-5 + 4s + -1t = 2s + 3t

Solving
-5 + 4s + -1t = 2s + 3t

Solving for variable 's'.

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

Add '-2s' to each side of the equation.
-5 + 4s + -2s + -1t = 2s + -2s + 3t

Combine like terms: 4s + -2s = 2s
-5 + 2s + -1t = 2s + -2s + 3t

Combine like terms: 2s + -2s = 0
-5 + 2s + -1t = 0 + 3t
-5 + 2s + -1t = 3t

Add '5' to each side of the equation.
-5 + 2s + 5 + -1t = 5 + 3t

Reorder the terms:
-5 + 5 + 2s + -1t = 5 + 3t

Combine like terms: -5 + 5 = 0
0 + 2s + -1t = 5 + 3t
2s + -1t = 5 + 3t

Add 't' to each side of the equation.
2s + -1t + t = 5 + 3t + t

Combine like terms: -1t + t = 0
2s + 0 = 5 + 3t + t
2s = 5 + 3t + t

Combine like terms: 3t + t = 4t
2s = 5 + 4t

Divide each side by '2'.
s = 2.5 + 2t

Simplifying
s = 2.5 + 2t

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