Solve 3.5(0.1x+1)=4.12=

$$3.5 ( 0.1 x + 1 ) = 4.12 =$$

Solve for x

$$x = \frac{62}{35} = 1\frac{27}{35} \approx 1.771428571$$

Steps for Solving Linear Equation

Divide both sides by 3.5.

$$0.1x+1=\frac{4.12}{3.5}$$

Expand \frac{4.12}{3.5} by multiplying both numerator and the denominator by 100.

$$0.1x+1=\frac{412}{350}$$

Reduce the fraction \frac{412}{350} to lowest terms by extracting and canceling out 2.

$$0.1x+1=\frac{206}{175}$$

Subtract 1 from both sides.

$$0.1x=\frac{206}{175}-1$$

Convert 1 to fraction \frac{175}{175}.

$$0.1x=\frac{206}{175}-\frac{175}{175}$$

Since \frac{206}{175} and \frac{175}{175} have the same denominator, subtract them by subtracting their numerators.

$$0.1x=\frac{206-175}{175}$$

Subtract 175 from 206 to get 31.

$$0.1x=\frac{31}{175}$$

Divide both sides by 0.1.

$$x=\frac{\frac{31}{175}}{0.1}$$

Express \frac{\frac{31}{175}}{0.1} as a single fraction.

$$x=\frac{31}{175\times 0.1}$$

Multiply 175 and 0.1 to get 17.5.

$$x=\frac{31}{17.5}$$

Expand \frac{31}{17.5} by multiplying both numerator and the denominator by 10.

$$x=\frac{310}{175}$$

Reduce the fraction \frac{310}{175} to lowest terms by extracting and canceling out 5.

$$x=\frac{62}{35}$$