Solve 5*068+09x/5+x=075

$$\frac{ 5 \cdot 068+09x }{ 5+x } =075$$

Solve for x

$$x\neq -5$$

Solution Steps

Variable x cannot be equal to -5 since division by zero is not defined. Multiply both sides of the equation by x+5.

$$5\times 0\times 68+0\times 9x=0\times 75\left(x+5\right)$$

Do the multiplications.

$$0\times 68+0x=0\times 75\left(x+5\right)$$

Multiply 0 and 68 to get 0.

$$0+0x=0\times 75\left(x+5\right)$$

Anything times zero gives zero.

$$0+0=0\times 75\left(x+5\right)$$

Add 0 and 0 to get 0.

$$0=0\times 75\left(x+5\right)$$

Multiply 0 and 75 to get 0.

$$0=0\left(x+5\right)$$

Anything times zero gives zero.

$$0=0$$

Compare 0 and 0.

$$\text{true}$$

This is true for any x.

$$x\in \mathrm{R}$$

Variable x cannot be equal to -5.

$$x\in \mathrm{R}\setminus -5$$