Solve n/21x-(15x-2)=4(x-3

$$\frac { n } { 21 } x - ( 15 x - 2 ) = 4 ( x - 3$$

Solve for n

$$n=399-\frac{294}{x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 21.

$$nx-21\left(15x-2\right)=84\left(x-3\right)$$

Use the distributive property to multiply -21 by 15x-2.

$$nx-315x+42=84\left(x-3\right)$$

Use the distributive property to multiply 84 by x-3.

$$nx-315x+42=84x-252$$

Add 315x to both sides.

$$nx+42=84x-252+315x$$

Combine 84x and 315x to get 399x.

$$nx+42=399x-252$$

Subtract 42 from both sides.

$$nx=399x-252-42$$

Subtract 42 from -252 to get -294.

$$nx=399x-294$$

The equation is in standard form.

$$xn=399x-294$$

Divide both sides by x.

$$\frac{xn}{x}=\frac{399x-294}{x}$$

Dividing by x undoes the multiplication by x.

$$n=\frac{399x-294}{x}$$

Divide 399x-294 by x.

$$n=399-\frac{294}{x}$$

Solve for x

$$x=-\frac{294}{n-399}$$

$$n\neq 399$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 21.

$$nx-21\left(15x-2\right)=84\left(x-3\right)$$

Use the distributive property to multiply -21 by 15x-2.

$$nx-315x+42=84\left(x-3\right)$$

Use the distributive property to multiply 84 by x-3.

$$nx-315x+42=84x-252$$

Subtract 84x from both sides.

$$nx-315x+42-84x=-252$$

Combine -315x and -84x to get -399x.

$$nx-399x+42=-252$$

Subtract 42 from both sides.

$$nx-399x=-252-42$$

Subtract 42 from -252 to get -294.

$$nx-399x=-294$$

Combine all terms containing x.

$$\left(n-399\right)x=-294$$

Divide both sides by n-399.

$$\frac{\left(n-399\right)x}{n-399}=-\frac{294}{n-399}$$

Dividing by n-399 undoes the multiplication by n-399.

$$x=-\frac{294}{n-399}$$