Solve 4*4/5+6divx=5*7div2

$$4 \times \frac{ 4 }{ 5+6 } \div x=5 \times 7 \div 2$$

Solve for x

$$x=\frac{32}{385}\approx 0.083116883$$

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 2x, the least common multiple of x,2.

$$2\times 4\times \frac{4}{5+6}=x\times 5\times 7$$

Multiply 2 and 4 to get 8.

$$8\times \frac{4}{5+6}=x\times 5\times 7$$

Add 5 and 6 to get 11.

$$8\times \frac{4}{11}=x\times 5\times 7$$

Express 8\times \frac{4}{11} as a single fraction.

$$\frac{8\times 4}{11}=x\times 5\times 7$$

Multiply 8 and 4 to get 32.

$$\frac{32}{11}=x\times 5\times 7$$

Multiply 5 and 7 to get 35.

$$\frac{32}{11}=x\times 35$$

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

$$x\times 35=\frac{32}{11}$$

Divide both sides by 35.

$$x=\frac{\frac{32}{11}}{35}$$

Express \frac{\frac{32}{11}}{35} as a single fraction.

$$x=\frac{32}{11\times 35}$$

Multiply 11 and 35 to get 385.

$$x=\frac{32}{385}$$