Solve x/2-1-3x/3/5=3/10

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

Solve for x

$$x = \frac{11}{9} = 1\frac{2}{9} \approx 1.222222222$$

Steps for Solving Linear Equation

Multiply both sides by 5.

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

Multiply both sides of the equation by 30, the least common multiple of 2,3,10.

$$15x-10\left(1-3x\right)=9\times 5$$

Use the distributive property to multiply -10 by 1-3x.

$$15x-10+30x=9\times 5$$

Combine 15x and 30x to get 45x.

$$45x-10=9\times 5$$

Multiply 9 and 5 to get 45.

$$45x-10=45$$

Add 10 to both sides.

$$45x=45+10$$

Add 45 and 10 to get 55.

$$45x=55$$

Divide both sides by 45.

$$x=\frac{55}{45}$$

Reduce the fraction \frac{55}{45} to lowest terms by extracting and canceling out 5.

$$x=\frac{11}{9}$$