Solve 51-3(2t+3)=t-1

$$51 - 3 ( 2 t + 3 ) = t - 1$$

Solve for t

$$t = \frac{43}{7} = 6\frac{1}{7} \approx 6.142857143$$

Steps for Solving Linear Equation

Use the distributive property to multiply -3 by 2t+3.

$$51-6t-9=t-1$$

Subtract 9 from 51 to get 42.

$$42-6t=t-1$$

Subtract t from both sides.

$$42-6t-t=-1$$

Combine -6t and -t to get -7t.

$$42-7t=-1$$

Subtract 42 from both sides.

$$-7t=-1-42$$

Subtract 42 from -1 to get -43.

$$-7t=-43$$

Divide both sides by -7.

$$t=\frac{-43}{-7}$$

Fraction \frac{-43}{-7} can be simplified to \frac{43}{7} by removing the negative sign from both the numerator and the denominator.

$$t=\frac{43}{7}$$