Solve 200=16(6t-3)

$$200 = 16 ( 6 t - 3 )$$

Solve for t

$$t = \frac{31}{12} = 2\frac{7}{12} \approx 2.583333333$$

Steps for Solving Linear Equation

Divide both sides by 16.

$$\frac{200}{16}=6t-3$$

Reduce the fraction \frac{200}{16} to lowest terms by extracting and canceling out 8.

$$\frac{25}{2}=6t-3$$

Swap sides so that all variable terms are on the left hand side.

$$6t-3=\frac{25}{2}$$

Add 3 to both sides.

$$6t=\frac{25}{2}+3$$

Convert 3 to fraction \frac{6}{2}.

$$6t=\frac{25}{2}+\frac{6}{2}$$

Since \frac{25}{2} and \frac{6}{2} have the same denominator, add them by adding their numerators.

$$6t=\frac{25+6}{2}$$

Add 25 and 6 to get 31.

$$6t=\frac{31}{2}$$

Divide both sides by 6.

$$t=\frac{\frac{31}{2}}{6}$$

Express \frac{\frac{31}{2}}{6} as a single fraction.

$$t=\frac{31}{2\times 6}$$

Multiply 2 and 6 to get 12.

$$t=\frac{31}{12}$$