Solve 14-1.5x=3+1.25a

$$14 - 1.5 x = 3 + 1.25 a$$

Solve for a

$$a=\frac{44-6x}{5}$$

Steps for Solving Linear Equation

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

$$3+1.25a=14-1.5x$$

Subtract 3 from both sides.

$$1.25a=14-1.5x-3$$

Subtract 3 from 14 to get 11.

$$1.25a=11-1.5x$$

The equation is in standard form.

$$1.25a=-\frac{3x}{2}+11$$

Divide both sides of the equation by 1.25, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{1.25a}{1.25}=\frac{-\frac{3x}{2}+11}{1.25}$$

Dividing by 1.25 undoes the multiplication by 1.25.

$$a=\frac{-\frac{3x}{2}+11}{1.25}$$

Divide 11-\frac{3x}{2} by 1.25 by multiplying 11-\frac{3x}{2} by the reciprocal of 1.25.

$$a=\frac{44-6x}{5}$$

Solve for x

$$x=-\frac{5a}{6}+\frac{22}{3}$$

Steps for Solving Linear Equation

Subtract 14 from both sides.

$$-1.5x=3+1.25a-14$$

Subtract 14 from 3 to get -11.

$$-1.5x=-11+1.25a$$

The equation is in standard form.

$$-1.5x=\frac{5a}{4}-11$$

Divide both sides of the equation by -1.5, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-1.5x}{-1.5}=\frac{\frac{5a}{4}-11}{-1.5}$$

Dividing by -1.5 undoes the multiplication by -1.5.

$$x=\frac{\frac{5a}{4}-11}{-1.5}$$

Divide -11+\frac{5a}{4} by -1.5 by multiplying -11+\frac{5a}{4} by the reciprocal of -1.5.

$$x=-\frac{5a}{6}+\frac{22}{3}$$