Solve 2(x-3/10)+0.3=-1

$$2(x- \frac{ 3 }{ 10 } )+0.3=-1$$

Solve for x

$$x=-0.35$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by x-\frac{3}{10}.

$$2x+2\left(-\frac{3}{10}\right)+0.3=-1$$

Express 2\left(-\frac{3}{10}\right) as a single fraction.

$$2x+\frac{2\left(-3\right)}{10}+0.3=-1$$

Multiply 2 and -3 to get -6.

$$2x+\frac{-6}{10}+0.3=-1$$

Reduce the fraction \frac{-6}{10} to lowest terms by extracting and canceling out 2.

$$2x-\frac{3}{5}+0.3=-1$$

Convert decimal number 0.3 to fraction \frac{3}{10}.

$$2x-\frac{3}{5}+\frac{3}{10}=-1$$

Least common multiple of 5 and 10 is 10. Convert -\frac{3}{5} and \frac{3}{10} to fractions with denominator 10.

$$2x-\frac{6}{10}+\frac{3}{10}=-1$$

Since -\frac{6}{10} and \frac{3}{10} have the same denominator, add them by adding their numerators.

$$2x+\frac{-6+3}{10}=-1$$

Add -6 and 3 to get -3.

$$2x-\frac{3}{10}=-1$$

Add \frac{3}{10} to both sides.

$$2x=-1+\frac{3}{10}$$

Convert -1 to fraction -\frac{10}{10}.

$$2x=-\frac{10}{10}+\frac{3}{10}$$

Since -\frac{10}{10} and \frac{3}{10} have the same denominator, add them by adding their numerators.

$$2x=\frac{-10+3}{10}$$

Add -10 and 3 to get -7.

$$2x=-\frac{7}{10}$$

Divide both sides by 2.

$$x=\frac{-\frac{7}{10}}{2}$$

Express \frac{-\frac{7}{10}}{2} as a single fraction.

$$x=\frac{-7}{10\times 2}$$

Multiply 10 and 2 to get 20.

$$x=\frac{-7}{20}$$

Fraction \frac{-7}{20} can be rewritten as -\frac{7}{20} by extracting the negative sign.

$$x=-\frac{7}{20}$$