Solve 2-0.4x=6/5(x-a)

$$2 - 0.4 x = \frac { 6 } { 5 } ( x - a )$$

Solve for a

$$a=\frac{4x-5}{3}$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{6}{5} by x-a.

$$2-0.4x=\frac{6}{5}x-\frac{6}{5}a$$

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

$$\frac{6}{5}x-\frac{6}{5}a=2-0.4x$$

Subtract \frac{6}{5}x from both sides.

$$-\frac{6}{5}a=2-0.4x-\frac{6}{5}x$$

Combine -0.4x and -\frac{6}{5}x to get -\frac{8}{5}x.

$$-\frac{6}{5}a=2-\frac{8}{5}x$$

The equation is in standard form.

$$-\frac{6}{5}a=-\frac{8x}{5}+2$$

Divide both sides of the equation by -\frac{6}{5}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-\frac{6}{5}a}{-\frac{6}{5}}=\frac{-\frac{8x}{5}+2}{-\frac{6}{5}}$$

Dividing by -\frac{6}{5} undoes the multiplication by -\frac{6}{5}.

$$a=\frac{-\frac{8x}{5}+2}{-\frac{6}{5}}$$

Divide 2-\frac{8x}{5} by -\frac{6}{5} by multiplying 2-\frac{8x}{5} by the reciprocal of -\frac{6}{5}.

$$a=\frac{4x-5}{3}$$

Solve for x

$$x=\frac{3a+5}{4}$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{6}{5} by x-a.

$$2-0.4x=\frac{6}{5}x-\frac{6}{5}a$$

Subtract \frac{6}{5}x from both sides.

$$2-0.4x-\frac{6}{5}x=-\frac{6}{5}a$$

Combine -0.4x and -\frac{6}{5}x to get -\frac{8}{5}x.

$$2-\frac{8}{5}x=-\frac{6}{5}a$$

Subtract 2 from both sides.

$$-\frac{8}{5}x=-\frac{6}{5}a-2$$

The equation is in standard form.

$$-\frac{8}{5}x=-\frac{6a}{5}-2$$

Divide both sides of the equation by -\frac{8}{5}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-\frac{8}{5}x}{-\frac{8}{5}}=\frac{-\frac{6a}{5}-2}{-\frac{8}{5}}$$

Dividing by -\frac{8}{5} undoes the multiplication by -\frac{8}{5}.

$$x=\frac{-\frac{6a}{5}-2}{-\frac{8}{5}}$$

Divide -\frac{6a}{5}-2 by -\frac{8}{5} by multiplying -\frac{6a}{5}-2 by the reciprocal of -\frac{8}{5}.

$$x=\frac{3a+5}{4}$$