Solve 40/100+40=0.64x/100

$$\frac{ 40 }{ 100+40 } = \frac{ 0.64x }{ 100 }$$

Solve for x

$$x = \frac{625}{14} = 44\frac{9}{14} \approx 44.642857143$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 100.

$$\frac{5}{7}\times 40=0.64x$$

Express \frac{5}{7}\times 40 as a single fraction.

$$\frac{5\times 40}{7}=0.64x$$

Multiply 5 and 40 to get 200.

$$\frac{200}{7}=0.64x$$

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

$$0.64x=\frac{200}{7}$$

Divide both sides by 0.64.

$$x=\frac{\frac{200}{7}}{0.64}$$

Express \frac{\frac{200}{7}}{0.64} as a single fraction.

$$x=\frac{200}{7\times 0.64}$$

Multiply 7 and 0.64 to get 4.48.

$$x=\frac{200}{4.48}$$

Expand \frac{200}{4.48} by multiplying both numerator and the denominator by 100.

$$x=\frac{20000}{448}$$

Reduce the fraction \frac{20000}{448} to lowest terms by extracting and canceling out 32.

$$x=\frac{625}{14}$$