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

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

Solve for x

$$x=-\frac{7}{11}\approx -0.636363636$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 15, the least common multiple of 3,5.

$$5\left(x+2\right)=3\left(1-2x\right)$$

Use the distributive property to multiply 5 by x+2.

$$5x+10=3\left(1-2x\right)$$

Use the distributive property to multiply 3 by 1-2x.

$$5x+10=3-6x$$

Add 6x to both sides.

$$5x+10+6x=3$$

Combine 5x and 6x to get 11x.

$$11x+10=3$$

Subtract 10 from both sides.

$$11x=3-10$$

Subtract 10 from 3 to get -7.

$$11x=-7$$

Divide both sides by 11.

$$x=\frac{-7}{11}$$

Fraction \frac{-7}{11} can be rewritten as -\frac{7}{11} by extracting the negative sign.

$$x=-\frac{7}{11}$$