Solve x+24/5=41/10

$$x + 2 \frac { 4 } { 5 } = 4 \frac { 1 } { 10 }$$

Solve for x

$$x = \frac{13}{10} = 1\frac{3}{10} = 1.3$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 10, the least common multiple of 5,10.

$$10x+2\left(2\times 5+4\right)=4\times 10+1$$

Multiply 2 and 5 to get 10.

$$10x+2\left(10+4\right)=4\times 10+1$$

Add 10 and 4 to get 14.

$$10x+2\times 14=4\times 10+1$$

Multiply 2 and 14 to get 28.

$$10x+28=4\times 10+1$$

Multiply 4 and 10 to get 40.

$$10x+28=40+1$$

Add 40 and 1 to get 41.

$$10x+28=41$$

Subtract 28 from both sides.

$$10x=41-28$$

Subtract 28 from 41 to get 13.

$$10x=13$$

Divide both sides by 10.

$$x=\frac{13}{10}$$