Solve x-2(8t-3)+3t=2

$$x - 2 ( 8 t - 3 ) + 3 t = 2$$

Solve for t

$$t=\frac{x+4}{13}$$

Steps for Solving Linear Equation

Use the distributive property to multiply -2 by 8t-3.

$$x-16t+6+3t=2$$

Combine -16t and 3t to get -13t.

$$x-13t+6=2$$

Subtract x from both sides.

$$-13t+6=2-x$$

Subtract 6 from both sides.

$$-13t=2-x-6$$

Subtract 6 from 2 to get -4.

$$-13t=-4-x$$

The equation is in standard form.

$$-13t=-x-4$$

Divide both sides by -13.

$$\frac{-13t}{-13}=\frac{-x-4}{-13}$$

Dividing by -13 undoes the multiplication by -13.

$$t=\frac{-x-4}{-13}$$

Divide -4-x by -13.

$$t=\frac{x+4}{13}$$

Solve for x

$$x=13t-4$$

Solution Steps

Use the distributive property to multiply -2 by 8t-3.

$$x-16t+6+3t=2$$

Combine -16t and 3t to get -13t.

$$x-13t+6=2$$

Add 13t to both sides.

$$x+6=2+13t$$

Subtract 6 from both sides.

$$x=2+13t-6$$

Subtract 6 from 2 to get -4.

$$x=-4+13t$$