Solve 31/2-x=-51/4

$$3 \frac{ 1 }{ 2 } -x = -5 \frac{ 1 }{ 4 }$$

Solve for x

$$x = \frac{35}{4} = 8\frac{3}{4} = 8.75$$

Steps for Solving Linear Equation

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

$$2\left(3\times 2+1\right)-4x=-\left(5\times 4+1\right)$$

Multiply 3 and 2 to get 6.

$$2\left(6+1\right)-4x=-\left(5\times 4+1\right)$$

Add 6 and 1 to get 7.

$$2\times 7-4x=-\left(5\times 4+1\right)$$

Multiply 2 and 7 to get 14.

$$14-4x=-\left(5\times 4+1\right)$$

Multiply 5 and 4 to get 20.

$$14-4x=-\left(20+1\right)$$

Add 20 and 1 to get 21.

$$14-4x=-21$$

Subtract 14 from both sides.

$$-4x=-21-14$$

Subtract 14 from -21 to get -35.

$$-4x=-35$$

Divide both sides by -4.

$$x=\frac{-35}{-4}$$

Fraction \frac{-35}{-4} can be simplified to \frac{35}{4} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{35}{4}$$