Solve 0.4*x+0.8/0.5=0.3x-0.4/0.4+1

$$\frac { 0.4 \times x + 0.8 } { 0.5 } = \frac { 0.3 x - 0.4 } { 0.4 } + 1$$

Solve for x

$$x=-32$$

Steps for Solving Linear Equation

Divide each term of 0.4x+0.8 by 0.5 to get \frac{0.4x}{0.5}+\frac{0.8}{0.5}.

$$\frac{0.4x}{0.5}+\frac{0.8}{0.5}=\frac{0.3x-0.4}{0.4}+1$$

Divide 0.4x by 0.5 to get 0.8x.

$$0.8x+\frac{0.8}{0.5}=\frac{0.3x-0.4}{0.4}+1$$

Expand \frac{0.8}{0.5} by multiplying both numerator and the denominator by 10.

$$0.8x+\frac{8}{5}=\frac{0.3x-0.4}{0.4}+1$$

Divide each term of 0.3x-0.4 by 0.4 to get \frac{0.3x}{0.4}+\frac{-0.4}{0.4}.

$$0.8x+\frac{8}{5}=\frac{0.3x}{0.4}+\frac{-0.4}{0.4}+1$$

Divide 0.3x by 0.4 to get 0.75x.

$$0.8x+\frac{8}{5}=0.75x+\frac{-0.4}{0.4}+1$$

Divide -0.4 by 0.4 to get -1.

$$0.8x+\frac{8}{5}=0.75x-1+1$$

Add -1 and 1 to get 0.

$$0.8x+\frac{8}{5}=0.75x$$

Subtract 0.75x from both sides.

$$0.8x+\frac{8}{5}-0.75x=0$$

Combine 0.8x and -0.75x to get 0.05x.

$$0.05x+\frac{8}{5}=0$$

Subtract \frac{8}{5} from both sides. Anything subtracted from zero gives its negation.

$$0.05x=-\frac{8}{5}$$

Divide both sides by 0.05.

$$x=\frac{-\frac{8}{5}}{0.05}$$

Express \frac{-\frac{8}{5}}{0.05} as a single fraction.

$$x=\frac{-8}{5\times 0.05}$$

Multiply 5 and 0.05 to get 0.25.

$$x=\frac{-8}{0.25}$$

Expand \frac{-8}{0.25} by multiplying both numerator and the denominator by 100.

$$x=\frac{-800}{25}$$

Divide -800 by 25 to get -32.

$$x=-32$$