Solve (29-2x).13=16.2

$$(29-2x).13=16.2$$

Solve for x

$$x = -\frac{1243}{26} = -47\frac{21}{26} \approx -47.807692308$$

Steps for Solving Linear Equation

Divide both sides by 0.13.

$$29-2x=\frac{16.2}{0.13}$$

Expand \frac{16.2}{0.13} by multiplying both numerator and the denominator by 100.

$$29-2x=\frac{1620}{13}$$

Subtract 29 from both sides.

$$-2x=\frac{1620}{13}-29$$

Convert 29 to fraction \frac{377}{13}.

$$-2x=\frac{1620}{13}-\frac{377}{13}$$

Since \frac{1620}{13} and \frac{377}{13} have the same denominator, subtract them by subtracting their numerators.

$$-2x=\frac{1620-377}{13}$$

Subtract 377 from 1620 to get 1243.

$$-2x=\frac{1243}{13}$$

Divide both sides by -2.

$$x=\frac{\frac{1243}{13}}{-2}$$

Express \frac{\frac{1243}{13}}{-2} as a single fraction.

$$x=\frac{1243}{13\left(-2\right)}$$

Multiply 13 and -2 to get -26.

$$x=\frac{1243}{-26}$$

Fraction \frac{1243}{-26} can be rewritten as -\frac{1243}{26} by extracting the negative sign.

$$x=-\frac{1243}{26}$$