Solve 6left(x+4/3right)=-5x+1/5

$$6 \left( x+ \frac{ 4 }{ 3 } \right) = -5x+ \frac{ 1 }{ 5 }$$

Solve for x

$$x=-\frac{39}{55}\approx -0.709090909$$

Steps for Solving Linear Equation

Use the distributive property to multiply 6 by x+\frac{4}{3}.

$$6x+6\times \frac{4}{3}=-5x+\frac{1}{5}$$

Express 6\times \frac{4}{3} as a single fraction.

$$6x+\frac{6\times 4}{3}=-5x+\frac{1}{5}$$

Multiply 6 and 4 to get 24.

$$6x+\frac{24}{3}=-5x+\frac{1}{5}$$

Divide 24 by 3 to get 8.

$$6x+8=-5x+\frac{1}{5}$$

Add 5x to both sides.

$$6x+8+5x=\frac{1}{5}$$

Combine 6x and 5x to get 11x.

$$11x+8=\frac{1}{5}$$

Subtract 8 from both sides.

$$11x=\frac{1}{5}-8$$

Convert 8 to fraction \frac{40}{5}.

$$11x=\frac{1}{5}-\frac{40}{5}$$

Since \frac{1}{5} and \frac{40}{5} have the same denominator, subtract them by subtracting their numerators.

$$11x=\frac{1-40}{5}$$

Subtract 40 from 1 to get -39.

$$11x=-\frac{39}{5}$$

Divide both sides by 11.

$$x=\frac{-\frac{39}{5}}{11}$$

Express \frac{-\frac{39}{5}}{11} as a single fraction.

$$x=\frac{-39}{5\times 11}$$

Multiply 5 and 11 to get 55.

$$x=\frac{-39}{55}$$

Fraction \frac{-39}{55} can be rewritten as -\frac{39}{55} by extracting the negative sign.

$$x=-\frac{39}{55}$$