Solve -5/3x+2/5-1/3x+1=0

$$\frac { - 5 } { 3 } x + \frac { 2 } { 5 } - \frac { 1 } { 3 } x + 1 = 0$$

Solve for x

$$x=\frac{7}{10}=0.7$$

Steps for Solving Linear Equation

Fraction \frac{-5}{3} can be rewritten as -\frac{5}{3} by extracting the negative sign.

$$-\frac{5}{3}x+\frac{2}{5}-\frac{1}{3}x+1=0$$

Combine -\frac{5}{3}x and -\frac{1}{3}x to get -2x.

$$-2x+\frac{2}{5}+1=0$$

Convert 1 to fraction \frac{5}{5}.

$$-2x+\frac{2}{5}+\frac{5}{5}=0$$

Since \frac{2}{5} and \frac{5}{5} have the same denominator, add them by adding their numerators.

$$-2x+\frac{2+5}{5}=0$$

Add 2 and 5 to get 7.

$$-2x+\frac{7}{5}=0$$

Subtract \frac{7}{5} from both sides. Anything subtracted from zero gives its negation.

$$-2x=-\frac{7}{5}$$

Divide both sides by -2.

$$x=\frac{-\frac{7}{5}}{-2}$$

Express \frac{-\frac{7}{5}}{-2} as a single fraction.

$$x=\frac{-7}{5\left(-2\right)}$$

Multiply 5 and -2 to get -10.

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

Fraction \frac{-7}{-10} can be simplified to \frac{7}{10} by removing the negative sign from both the numerator and the denominator.

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