Solve -5-2at=-3+5at

$$-5-2at = -3+5at$$

Solve for a

$$a=-\frac{2}{7t}$$

$$t\neq 0$$

Steps for Solving Linear Equation

Subtract 5at from both sides.

$$-5-2at-5at=-3$$

Combine -2at and -5at to get -7at.

$$-5-7at=-3$$

Add 5 to both sides.

$$-7at=-3+5$$

Add -3 and 5 to get 2.

$$-7at=2$$

The equation is in standard form.

$$\left(-7t\right)a=2$$

Divide both sides by -7t.

$$\frac{\left(-7t\right)a}{-7t}=\frac{2}{-7t}$$

Dividing by -7t undoes the multiplication by -7t.

$$a=\frac{2}{-7t}$$

Divide 2 by -7t.

$$a=-\frac{2}{7t}$$

Solve for t

$$t=-\frac{2}{7a}$$

$$a\neq 0$$

Steps for Solving Linear Equation

Subtract 5at from both sides.

$$-5-2at-5at=-3$$

Combine -2at and -5at to get -7at.

$$-5-7at=-3$$

Add 5 to both sides.

$$-7at=-3+5$$

Add -3 and 5 to get 2.

$$-7at=2$$

The equation is in standard form.

$$\left(-7a\right)t=2$$

Divide both sides by -7a.

$$\frac{\left(-7a\right)t}{-7a}=\frac{2}{-7a}$$

Dividing by -7a undoes the multiplication by -7a.

$$t=\frac{2}{-7a}$$

Divide 2 by -7a.

$$t=-\frac{2}{7a}$$