Solve 2(0.19-x)/111+2x/95=3696*10^-6

$$\frac { 2 ( 0.19 - x ) } { 111 } + \frac { 2 x } { 95 } = 3696 \times 10 ^ { - 6 }$$

Solve for x

$$x=0.0898225$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 10545, the least common multiple of 111,95.

$$95\times 2\left(0.19-x\right)+111\times 2x=38974320\times 10^{-6}$$

Multiply 95 and 2 to get 190.

$$190\left(0.19-x\right)+111\times 2x=38974320\times 10^{-6}$$

Use the distributive property to multiply 190 by 0.19-x.

$$36.1-190x+111\times 2x=38974320\times 10^{-6}$$

Multiply 111 and 2 to get 222.

$$36.1-190x+222x=38974320\times 10^{-6}$$

Combine -190x and 222x to get 32x.

$$36.1+32x=38974320\times 10^{-6}$$

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$36.1+32x=38974320\times \frac{1}{1000000}$$

Multiply 38974320 and \frac{1}{1000000} to get \frac{487179}{12500}.

$$36.1+32x=\frac{487179}{12500}$$

Subtract 36.1 from both sides.

$$32x=\frac{487179}{12500}-36.1$$

Subtract 36.1 from \frac{487179}{12500} to get \frac{35929}{12500}.

$$32x=\frac{35929}{12500}$$

Divide both sides by 32.

$$x=\frac{\frac{35929}{12500}}{32}$$

Express \frac{\frac{35929}{12500}}{32} as a single fraction.

$$x=\frac{35929}{12500\times 32}$$

Multiply 12500 and 32 to get 400000.

$$x=\frac{35929}{400000}$$