Solve 181/2-x=-73/4

$$18 \frac { 1 } { 2 } - x = - 7 \frac { 3 } { 4 }$$

Solve for x

$$x = \frac{105}{4} = 26\frac{1}{4} = 26.25$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4, the least common multiple of 2,4.

$$2\left(18\times 2+1\right)-4x=-\left(7\times 4+3\right)$$

Multiply 18 and 2 to get 36.

$$2\left(36+1\right)-4x=-\left(7\times 4+3\right)$$

Add 36 and 1 to get 37.

$$2\times 37-4x=-\left(7\times 4+3\right)$$

Multiply 2 and 37 to get 74.

$$74-4x=-\left(7\times 4+3\right)$$

Multiply 7 and 4 to get 28.

$$74-4x=-\left(28+3\right)$$

Add 28 and 3 to get 31.

$$74-4x=-31$$

Subtract 74 from both sides.

$$-4x=-31-74$$

Subtract 74 from -31 to get -105.

$$-4x=-105$$

Divide both sides by -4.

$$x=\frac{-105}{-4}$$

Fraction \frac{-105}{-4} can be simplified to \frac{105}{4} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{105}{4}$$