Solve -x-11/4=25/6

$$-x- 1 \frac { 1 } { 4 } = 2 \frac { 5 } { 6 }$$

Solve for x

$$x = -\frac{49}{12} = -4\frac{1}{12} \approx -4.083333333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 4,6.

$$-12x-3\left(4+1\right)=2\left(2\times 6+5\right)$$

Add 4 and 1 to get 5.

$$-12x-3\times 5=2\left(2\times 6+5\right)$$

Multiply -3 and 5 to get -15.

$$-12x-15=2\left(2\times 6+5\right)$$

Multiply 2 and 6 to get 12.

$$-12x-15=2\left(12+5\right)$$

Add 12 and 5 to get 17.

$$-12x-15=2\times 17$$

Multiply 2 and 17 to get 34.

$$-12x-15=34$$

Add 15 to both sides.

$$-12x=34+15$$

Add 34 and 15 to get 49.

$$-12x=49$$

Divide both sides by -12.

$$x=\frac{49}{-12}$$

Fraction \frac{49}{-12} can be rewritten as -\frac{49}{12} by extracting the negative sign.

$$x=-\frac{49}{12}$$