Solve 62.84t-123.66=4(2.26+2.4t)

$$62.84 t - 123.66 = 4 ( 2.26 + 2.4 t )$$

Solve for t

$$t = \frac{6635}{2662} = 2\frac{1311}{2662} \approx 2.492486852$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by 2.26+2.4t.

$$62.84t-123.66=9.04+9.6t$$

Subtract 9.6t from both sides.

$$62.84t-123.66-9.6t=9.04$$

Combine 62.84t and -9.6t to get 53.24t.

$$53.24t-123.66=9.04$$

Add 123.66 to both sides.

$$53.24t=9.04+123.66$$

Add 9.04 and 123.66 to get 132.7.

$$53.24t=132.7$$

Divide both sides by 53.24.

$$t=\frac{132.7}{53.24}$$

Expand \frac{132.7}{53.24} by multiplying both numerator and the denominator by 100.

$$t=\frac{13270}{5324}$$

Reduce the fraction \frac{13270}{5324} to lowest terms by extracting and canceling out 2.

$$t=\frac{6635}{2662}$$