Solve 450/x+05=440/x+10

$$\frac{ 450 }{ x } +05 = \frac{ 440 }{ x+10 }$$

Solve for x

$$x=-450$$

Steps for Solving Linear Equation

Variable x cannot be equal to any of the values -10,0 since division by zero is not defined. Multiply both sides of the equation by x\left(x+10\right), the least common multiple of x,x+10.

$$\left(x+10\right)\times 450+0\times 5x\left(x+10\right)=x\times 440$$

Use the distributive property to multiply x+10 by 450.

$$450x+4500+0\times 5x\left(x+10\right)=x\times 440$$

Multiply 0 and 5 to get 0.

$$450x+4500+0x\left(x+10\right)=x\times 440$$

Anything times zero gives zero.

$$450x+4500+0=x\times 440$$

Add 4500 and 0 to get 4500.

$$450x+4500=x\times 440$$

Subtract x\times 440 from both sides.

$$450x+4500-x\times 440=0$$

Combine 450x and -x\times 440 to get 10x.

$$10x+4500=0$$

Subtract 4500 from both sides. Anything subtracted from zero gives its negation.

$$10x=-4500$$

Divide both sides by 10.

$$x=\frac{-4500}{10}$$

Divide -4500 by 10 to get -450.

$$x=-450$$