Solve .4(x-.35)-.2x=.3(-.25)

$$.4(x-.35)-.2x=.3(-.25)$$

Solve for x

$$x=0.325$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.4 by x-0.35.

$$0.4x-0.14-0.2x=0.3\left(-0.25\right)$$

Combine 0.4x and -0.2x to get 0.2x.

$$0.2x-0.14=0.3\left(-0.25\right)$$

Multiply 0.3 and -0.25 to get -0.075.

$$0.2x-0.14=-0.075$$

Add 0.14 to both sides.

$$0.2x=-0.075+0.14$$

Add -0.075 and 0.14 to get 0.065.

$$0.2x=0.065$$

Divide both sides by 0.2.

$$x=\frac{0.065}{0.2}$$

Expand \frac{0.065}{0.2} by multiplying both numerator and the denominator by 1000.

$$x=\frac{65}{200}$$

Reduce the fraction \frac{65}{200} to lowest terms by extracting and canceling out 5.

$$x=\frac{13}{40}$$