Solve 0.907=x/x+1*0.88+0.95/x+1

$$0.907= \frac{ x }{ x+1 } \times 0.88+ \frac{ 0.95 }{ x+1 }$$

Solve for x

$$x = \frac{43}{27} = 1\frac{16}{27} \approx 1.592592593$$

Steps for Solving Linear Equation

Variable x cannot be equal to -1 since division by zero is not defined. Multiply both sides of the equation by x+1.

$$0.907\left(x+1\right)=x\times 0.88+0.95$$

Use the distributive property to multiply 0.907 by x+1.

$$0.907x+0.907=x\times 0.88+0.95$$

Subtract x\times 0.88 from both sides.

$$0.907x+0.907-x\times 0.88=0.95$$

Combine 0.907x and -x\times 0.88 to get 0.027x.

$$0.027x+0.907=0.95$$

Subtract 0.907 from both sides.

$$0.027x=0.95-0.907$$

Subtract 0.907 from 0.95 to get 0.043.

$$0.027x=0.043$$

Divide both sides by 0.027.

$$x=\frac{0.043}{0.027}$$

Expand \frac{0.043}{0.027} by multiplying both numerator and the denominator by 1000.

$$x=\frac{43}{27}$$