Solve x-53/4=-121/6

$$x- 5 \frac { 3 } { 4 } =- 12 \frac { 1 } { 6 }$$

Solve for x

$$x = -\frac{77}{12} = -6\frac{5}{12} \approx -6.416666667$$

Steps for Solving Linear Equation

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

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

Multiply 5 and 4 to get 20.

$$12x-3\left(20+3\right)=-2\left(12\times 6+1\right)$$

Add 20 and 3 to get 23.

$$12x-3\times 23=-2\left(12\times 6+1\right)$$

Multiply -3 and 23 to get -69.

$$12x-69=-2\left(12\times 6+1\right)$$

Multiply 12 and 6 to get 72.

$$12x-69=-2\left(72+1\right)$$

Add 72 and 1 to get 73.

$$12x-69=-2\times 73$$

Multiply -2 and 73 to get -146.

$$12x-69=-146$$

Add 69 to both sides.

$$12x=-146+69$$

Add -146 and 69 to get -77.

$$12x=-77$$

Divide both sides by 12.

$$x=\frac{-77}{12}$$

Fraction \frac{-77}{12} can be rewritten as -\frac{77}{12} by extracting the negative sign.

$$x=-\frac{77}{12}$$