Solve 1.7=(0.13+x)div2*0.56

$$1.7=(0.13+x) \div 2 \times 0.56$$

Solve for x

$$x = \frac{4159}{700} = 5\frac{659}{700} \approx 5.941428571$$

Steps for Solving Linear Equation

Divide both sides by 0.56.

$$\frac{1.7}{0.56}=\frac{0.13+x}{2}$$

Expand \frac{1.7}{0.56} by multiplying both numerator and the denominator by 100.

$$\frac{170}{56}=\frac{0.13+x}{2}$$

Reduce the fraction \frac{170}{56} to lowest terms by extracting and canceling out 2.

$$\frac{85}{28}=\frac{0.13+x}{2}$$

Multiply both sides by 2.

$$\frac{85}{28}\times 2=0.13+x$$

Express \frac{85}{28}\times 2 as a single fraction.

$$\frac{85\times 2}{28}=0.13+x$$

Multiply 85 and 2 to get 170.

$$\frac{170}{28}=0.13+x$$

Reduce the fraction \frac{170}{28} to lowest terms by extracting and canceling out 2.

$$\frac{85}{14}=0.13+x$$

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

$$0.13+x=\frac{85}{14}$$

Subtract 0.13 from both sides.

$$x=\frac{85}{14}-0.13$$

Convert decimal number 0.13 to fraction \frac{13}{100}.

$$x=\frac{85}{14}-\frac{13}{100}$$

Least common multiple of 14 and 100 is 700. Convert \frac{85}{14} and \frac{13}{100} to fractions with denominator 700.

$$x=\frac{4250}{700}-\frac{91}{700}$$

Since \frac{4250}{700} and \frac{91}{700} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{4250-91}{700}$$

Subtract 91 from 4250 to get 4159.

$$x=\frac{4159}{700}$$