Solve 3n/4-10=5n/3=

$$\frac { 3 n } { 4 } - 10 = \frac { 5 n } { 3 } =$$

Solve for n

$$n = -\frac{120}{11} = -10\frac{10}{11} \approx -10.909090909$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 4,3.

$$3\times 3n-120=4\times 5n$$

Multiply 3 and 3 to get 9.

$$9n-120=4\times 5n$$

Multiply 4 and 5 to get 20.

$$9n-120=20n$$

Subtract 20n from both sides.

$$9n-120-20n=0$$

Combine 9n and -20n to get -11n.

$$-11n-120=0$$

Add 120 to both sides. Anything plus zero gives itself.

$$-11n=120$$

Divide both sides by -11.

$$n=\frac{120}{-11}$$

Fraction \frac{120}{-11} can be rewritten as -\frac{120}{11} by extracting the negative sign.

$$n=-\frac{120}{11}$$