Solve 1/1+0.06*2=1-2x

$$\frac{ 1 }{ 1+0.06 \times 2 } = 1-2x$$

Solve for x

$$x=\frac{3}{56}\approx 0.053571429$$

Steps for Solving Linear Equation

Multiply 0.06 and 2 to get 0.12.

$$\frac{1}{1+0.12}=1-2x$$

Add 1 and 0.12 to get 1.12.

$$\frac{1}{1.12}=1-2x$$

Expand \frac{1}{1.12} by multiplying both numerator and the denominator by 100.

$$\frac{100}{112}=1-2x$$

Reduce the fraction \frac{100}{112} to lowest terms by extracting and canceling out 4.

$$\frac{25}{28}=1-2x$$

Swap sides so that all variable terms are on the left hand side.

$$1-2x=\frac{25}{28}$$

Subtract 1 from both sides.

$$-2x=\frac{25}{28}-1$$

Convert 1 to fraction \frac{28}{28}.

$$-2x=\frac{25}{28}-\frac{28}{28}$$

Since \frac{25}{28} and \frac{28}{28} have the same denominator, subtract them by subtracting their numerators.

$$-2x=\frac{25-28}{28}$$

Subtract 28 from 25 to get -3.

$$-2x=-\frac{3}{28}$$

Divide both sides by -2.

$$x=\frac{-\frac{3}{28}}{-2}$$

Express \frac{-\frac{3}{28}}{-2} as a single fraction.

$$x=\frac{-3}{28\left(-2\right)}$$

Multiply 28 and -2 to get -56.

$$x=\frac{-3}{-56}$$

Fraction \frac{-3}{-56} can be simplified to \frac{3}{56} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{3}{56}$$