What is the answer to t/4+5/3 t= 7/2 (t-1) ?

The answer to t/4+5/3 t= 7/2 (t-1) is t= 42/19

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t/4+5/3 t= 7/2 (t-1)

\frac{t}{4} + \frac{5}{3} t = \frac{7}{2} (t - 1)

t = \frac{42}{19}

Decimal Notation

t = 2.21052 \dots

Solution steps

\frac{t}{4} + \frac{5}{3} t = \frac{7}{2} (t - 1)

Multiply by LCM

23 t = 42 (t - 1)

Expand

42 (t - 1) : 42 t - 42

23 t = 42 t - 42

Move

42 t

to the left side

- 19 t = - 42

Divide both sides by

- 19

t = \frac{42}{19}

- 3 x = - 2

3 x + 1 - (x + 3) = 6

4 - 5 x = 17

- 2 (8 + 5 p) = - 24

\frac{( 401 \cdot 1.8 ) ( - 12 + x )}{0.11} = 394 \cdot 1 0^{3}

What is the answer to t/4+5/3 t= 7/2 (t-1) ?
The answer to t/4+5/3 t= 7/2 (t-1) is t= 42/19
Solve for t: t/4+5/3 t= 7/2 (t-1)
The solution is t= 42/19