Solve 11/2=c-32/5

$$1 \frac { 1 } { 2 } = c - 3 \frac { 2 } { 5 }$$

Solve for c

$$c = \frac{49}{10} = 4\frac{9}{10} = 4.9$$

Steps for Solving Linear Equation

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

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

Multiply 1 and 2 to get 2.

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

Add 2 and 1 to get 3.

$$5\times 3=10c-2\left(3\times 5+2\right)$$

Multiply 5 and 3 to get 15.

$$15=10c-2\left(3\times 5+2\right)$$

Multiply 3 and 5 to get 15.

$$15=10c-2\left(15+2\right)$$

Add 15 and 2 to get 17.

$$15=10c-2\times 17$$

Multiply -2 and 17 to get -34.

$$15=10c-34$$

Swap sides so that all variable terms are on the left hand side.

$$10c-34=15$$

Add 34 to both sides.

$$10c=15+34$$

Add 15 and 34 to get 49.

$$10c=49$$

Divide both sides by 10.

$$c=\frac{49}{10}$$