Solve 6(3t+7)=2(6t-10)-8

$$6 ( 3 t + 7 ) = 2 ( 6 t - 10 ) - 8$$

Solve for t

$$t = -\frac{35}{3} = -11\frac{2}{3} \approx -11.666666667$$

Steps for Solving Linear Equation

Use the distributive property to multiply 6 by 3t+7.

$$18t+42=2\left(6t-10\right)-8$$

Use the distributive property to multiply 2 by 6t-10.

$$18t+42=12t-20-8$$

Subtract 8 from -20 to get -28.

$$18t+42=12t-28$$

Subtract 12t from both sides.

$$18t+42-12t=-28$$

Combine 18t and -12t to get 6t.

$$6t+42=-28$$

Subtract 42 from both sides.

$$6t=-28-42$$

Subtract 42 from -28 to get -70.

$$6t=-70$$

Divide both sides by 6.

$$t=\frac{-70}{6}$$

Reduce the fraction \frac{-70}{6} to lowest terms by extracting and canceling out 2.

$$t=-\frac{35}{3}$$