Solve a_{x}-2y=12a-10b

$$a _ { x } - 2 y = 12 a - 10 b$$

Solve for a

$$a=\frac{10b+a_{x}-2y}{12}$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$12a-10b=a_{x}-2y$$

Add 10b to both sides.

$$12a=a_{x}-2y+10b$$

The equation is in standard form.

$$12a=10b+a_{x}-2y$$

Divide both sides by 12.

$$\frac{12a}{12}=\frac{10b+a_{x}-2y}{12}$$

Dividing by 12 undoes the multiplication by 12.

$$a=\frac{10b+a_{x}-2y}{12}$$

Divide a_{x}-2y+10b by 12.

$$a=\frac{a_{x}}{12}+\frac{5b}{6}-\frac{y}{6}$$

Solve for a_x

$$a_{x}=2\left(y+6a-5b\right)$$

Solution Steps

Add 2y to both sides.

$$a_{x}=12a-10b+2y$$