Solve -5a-9a+12b+14=-2a

$$- 5 a - 9 a + 12 b + 14 = - 2 a$$

Solve for a

$$a = \frac{7}{6} = 1\frac{1}{6} = 1.1666666666666667$$

Steps for Solving Linear Equation

Combine -5a and -9a to get -14a.

$$-14a+12b+14=-2a$$

Add 2a to both sides.

$$-14a+12b+14+2a=0$$

Combine -14a and 2a to get -12a.

$$-12a+12b+14=0$$

Subtract 12b from both sides. Anything subtracted from zero gives its negation.

$$-12a+14=-12b$$

Subtract 14 from both sides.

$$-12a=-12b-14$$

Divide both sides by -12.

$$\frac{-12a}{-12}=\frac{-12b-14}{-12}$$

Dividing by -12 undoes the multiplication by -12.

$$a=\frac{-12b-14}{-12}$$

Divide -12b-14 by -12.

$$a=b+\frac{7}{6}$$

Solve for b

$$b = -\frac{7}{6} = -1\frac{1}{6} = -1.1666666666666667$$

Steps for Solving Linear Equation

Combine -5a and -9a to get -14a.

$$-14a+12b+14=-2a$$

Add 14a to both sides.

$$12b+14=-2a+14a$$

Combine -2a and 14a to get 12a.

$$12b+14=12a$$

Subtract 14 from both sides.

$$12b=12a-14$$

Divide both sides by 12.

$$\frac{12b}{12}=\frac{12a-14}{12}$$

Dividing by 12 undoes the multiplication by 12.

$$b=\frac{12a-14}{12}$$

Divide 12a-14 by 12.

$$b=a-\frac{7}{6}$$