Solve 4.4(5.1x-10)=12.9

$$4.4(5.1x-10)=12.9$$

Solve for x

$$x = \frac{2845}{1122} = 2\frac{601}{1122} \approx 2.535650624$$

Steps for Solving Linear Equation

Divide both sides by 4.4.

$$5.1x-10=\frac{12.9}{4.4}$$

Expand \frac{12.9}{4.4} by multiplying both numerator and the denominator by 10.

$$5.1x-10=\frac{129}{44}$$

Add 10 to both sides.

$$5.1x=\frac{129}{44}+10$$

Convert 10 to fraction \frac{440}{44}.

$$5.1x=\frac{129}{44}+\frac{440}{44}$$

Since \frac{129}{44} and \frac{440}{44} have the same denominator, add them by adding their numerators.

$$5.1x=\frac{129+440}{44}$$

Add 129 and 440 to get 569.

$$5.1x=\frac{569}{44}$$

Divide both sides by 5.1.

$$x=\frac{\frac{569}{44}}{5.1}$$

Express \frac{\frac{569}{44}}{5.1} as a single fraction.

$$x=\frac{569}{44\times 5.1}$$

Multiply 44 and 5.1 to get 224.4.

$$x=\frac{569}{224.4}$$

Expand \frac{569}{224.4} by multiplying both numerator and the denominator by 10.

$$x=\frac{5690}{2244}$$

Reduce the fraction \frac{5690}{2244} to lowest terms by extracting and canceling out 2.

$$x=\frac{2845}{1122}$$