Solve x-(-51/2)=-81/4

$$x - ( - 5 \frac { 1 } { 2 } ) = - 8 \frac { 1 } { 4 }$$

Solve for x

$$x = -\frac{55}{4} = -13\frac{3}{4} = -13.75$$

Steps for Solving Linear Equation

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

$$4x-\left(-2\left(5\times 2+1\right)\right)=-\left(8\times 4+1\right)$$

Multiply 5 and 2 to get 10.

$$4x-\left(-2\left(10+1\right)\right)=-\left(8\times 4+1\right)$$

Add 10 and 1 to get 11.

$$4x-\left(-2\times 11\right)=-\left(8\times 4+1\right)$$

Multiply -2 and 11 to get -22.

$$4x-\left(-22\right)=-\left(8\times 4+1\right)$$

The opposite of -22 is 22.

$$4x+22=-\left(8\times 4+1\right)$$

Multiply 8 and 4 to get 32.

$$4x+22=-\left(32+1\right)$$

Add 32 and 1 to get 33.

$$4x+22=-33$$

Subtract 22 from both sides.

$$4x=-33-22$$

Subtract 22 from -33 to get -55.

$$4x=-55$$

Divide both sides by 4.

$$x=\frac{-55}{4}$$

Fraction \frac{-55}{4} can be rewritten as -\frac{55}{4} by extracting the negative sign.

$$x=-\frac{55}{4}$$