Solve 6(3t-4)-4t=4(t-2)

$$6 ( 3 t - 4 ) - 4 t = 4 ( t - 2 )$$

Solve for t

$$t = \frac{8}{5} = 1\frac{3}{5} = 1.6$$

Steps for Solving Linear Equation

Use the distributive property to multiply 6 by 3t-4.

$$18t-24-4t=4\left(t-2\right)$$

Combine 18t and -4t to get 14t.

$$14t-24=4\left(t-2\right)$$

Use the distributive property to multiply 4 by t-2.

$$14t-24=4t-8$$

Subtract 4t from both sides.

$$14t-24-4t=-8$$

Combine 14t and -4t to get 10t.

$$10t-24=-8$$

Add 24 to both sides.

$$10t=-8+24$$

Add -8 and 24 to get 16.

$$10t=16$$

Divide both sides by 10.

$$t=\frac{16}{10}$$

Reduce the fraction \frac{16}{10} to lowest terms by extracting and canceling out 2.

$$t=\frac{8}{5}$$