Solve 93+x/178+x=0.706

$$\frac{ 93+x }{ 178+x } =0.706$$

Solve for x

$$x = \frac{16334}{147} = 111\frac{17}{147} \approx 111.115646259$$

Steps for Solving Linear Equation

Variable x cannot be equal to -178 since division by zero is not defined. Multiply both sides of the equation by x+178.

$$93+x=0.706\left(x+178\right)$$

Use the distributive property to multiply 0.706 by x+178.

$$93+x=0.706x+125.668$$

Subtract 0.706x from both sides.

$$93+x-0.706x=125.668$$

Combine x and -0.706x to get 0.294x.

$$93+0.294x=125.668$$

Subtract 93 from both sides.

$$0.294x=125.668-93$$

Subtract 93 from 125.668 to get 32.668.

$$0.294x=32.668$$

Divide both sides by 0.294.

$$x=\frac{32.668}{0.294}$$

Expand \frac{32.668}{0.294} by multiplying both numerator and the denominator by 1000.

$$x=\frac{32668}{294}$$

Reduce the fraction \frac{32668}{294} to lowest terms by extracting and canceling out 2.

$$x=\frac{16334}{147}$$