Solve 13/5x-29/10=31/2

$$1 \frac { 3 } { 5 } x - 2 \frac { 9 } { 10 } = 3 \frac { 1 } { 2 }$$

Solve for x

$$x=4$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 10, the least common multiple of 5,10,2.

$$2\left(1\times 5+3\right)x-\left(2\times 10+9\right)=5\left(3\times 2+1\right)$$

Multiply 1 and 5 to get 5.

$$2\left(5+3\right)x-\left(2\times 10+9\right)=5\left(3\times 2+1\right)$$

Add 5 and 3 to get 8.

$$2\times 8x-\left(2\times 10+9\right)=5\left(3\times 2+1\right)$$

Multiply 2 and 8 to get 16.

$$16x-\left(2\times 10+9\right)=5\left(3\times 2+1\right)$$

Multiply 2 and 10 to get 20.

$$16x-\left(20+9\right)=5\left(3\times 2+1\right)$$

Add 20 and 9 to get 29.

$$16x-29=5\left(3\times 2+1\right)$$

Multiply 3 and 2 to get 6.

$$16x-29=5\left(6+1\right)$$

Add 6 and 1 to get 7.

$$16x-29=5\times 7$$

Multiply 5 and 7 to get 35.

$$16x-29=35$$

Add 29 to both sides.

$$16x=35+29$$

Add 35 and 29 to get 64.

$$16x=64$$

Divide both sides by 16.

$$x=\frac{64}{16}$$

Divide 64 by 16 to get 4.

$$x=4$$