Solve 2/a_{4}=2+32+4*16/x

$$\frac { 2 } { a _ { 4 } } = \frac { 2 + 32 + 4 \times 16 } { x }$$

Solve for a_4

$$a_{4}=\frac{x}{49}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Variable a_{4} cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by a_{4}x, the least common multiple of a_{4},x.

$$x\times 2=a_{4}\left(2+32+4\times 16\right)$$

Add 2 and 32 to get 34.

$$x\times 2=a_{4}\left(34+4\times 16\right)$$

Multiply 4 and 16 to get 64.

$$x\times 2=a_{4}\left(34+64\right)$$

Add 34 and 64 to get 98.

$$x\times 2=a_{4}\times 98$$

Swap sides so that all variable terms are on the left hand side.

$$a_{4}\times 98=x\times 2$$

The equation is in standard form.

$$98a_{4}=2x$$

Divide both sides by 98.

$$\frac{98a_{4}}{98}=\frac{2x}{98}$$

Dividing by 98 undoes the multiplication by 98.

$$a_{4}=\frac{2x}{98}$$

Divide 2x by 98.

$$a_{4}=\frac{x}{49}$$

Variable a_{4} cannot be equal to 0.

$$a_{4}=\frac{x}{49}\text{, }a_{4}\neq 0$$

Solve for x

$$x=49a_{4}$$

$$a_{4}\neq 0$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by a_{4}x, the least common multiple of a_{4},x.

$$x\times 2=a_{4}\left(2+32+4\times 16\right)$$

Add 2 and 32 to get 34.

$$x\times 2=a_{4}\left(34+4\times 16\right)$$

Multiply 4 and 16 to get 64.

$$x\times 2=a_{4}\left(34+64\right)$$

Add 34 and 64 to get 98.

$$x\times 2=a_{4}\times 98$$

The equation is in standard form.

$$2x=98a_{4}$$

Divide both sides by 2.

$$\frac{2x}{2}=\frac{98a_{4}}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$x=\frac{98a_{4}}{2}$$

Divide 98a_{4} by 2.

$$x=49a_{4}$$

Variable x cannot be equal to 0.

$$x=49a_{4}\text{, }x\neq 0$$