Solve 0.3(x-0.7)=1.9-0.2(0.4-x)

$$0.3 ( x - 0.7 ) = 1.9 - 0.2 ( 0.4 - x )$$

Solve for x

$$x=20.3$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.3 by x-0.7.

$$0.3x-0.21=1.9-0.2\left(0.4-x\right)$$

Use the distributive property to multiply -0.2 by 0.4-x.

$$0.3x-0.21=1.9-0.08+0.2x$$

Subtract 0.08 from 1.9 to get 1.82.

$$0.3x-0.21=1.82+0.2x$$

Subtract 0.2x from both sides.

$$0.3x-0.21-0.2x=1.82$$

Combine 0.3x and -0.2x to get 0.1x.

$$0.1x-0.21=1.82$$

Add 0.21 to both sides.

$$0.1x=1.82+0.21$$

Add 1.82 and 0.21 to get 2.03.

$$0.1x=2.03$$

Divide both sides by 0.1.

$$x=\frac{2.03}{0.1}$$

Expand \frac{2.03}{0.1} by multiplying both numerator and the denominator by 100.

$$x=\frac{203}{10}$$