Solve x:(2x+1)=2/7:3/5

$$x : ( 2 x + 1 ) = \frac { 2 } { 7 } : \frac { 3 } { 5 }$$

Solve for x

$$x=10$$

Steps for Solving Linear Equation

Variable x cannot be equal to -\frac{1}{2} since division by zero is not defined. Multiply both sides of the equation by 2x+1.

$$x=\left(2x+1\right)\times \frac{\frac{2}{7}}{\frac{3}{5}}$$

Divide \frac{2}{7} by \frac{3}{5} by multiplying \frac{2}{7} by the reciprocal of \frac{3}{5}.

$$x=\left(2x+1\right)\times \frac{2}{7}\times \frac{5}{3}$$

Multiply \frac{2}{7} and \frac{5}{3} to get \frac{10}{21}.

$$x=\left(2x+1\right)\times \frac{10}{21}$$

Use the distributive property to multiply 2x+1 by \frac{10}{21}.

$$x=\frac{20}{21}x+\frac{10}{21}$$

Subtract \frac{20}{21}x from both sides.

$$x-\frac{20}{21}x=\frac{10}{21}$$

Combine x and -\frac{20}{21}x to get \frac{1}{21}x.

$$\frac{1}{21}x=\frac{10}{21}$$

Multiply both sides by 21, the reciprocal of \frac{1}{21}.

$$x=\frac{10}{21}\times 21$$

Multiply \frac{10}{21} and 21 to get 10.

$$x=10$$