Solve 0.456=1/2*3.53+3.53x

$$0.456 = \frac{ 1 }{ 2 \times 3.53 } +3.53x$$

Solve for x

$$x=\frac{55484}{623045}\approx 0.089052958$$

Steps for Solving Linear Equation

Multiply 2 and 3.53 to get 7.06.

$$0.456=\frac{1}{7.06}+3.53x$$

Expand \frac{1}{7.06} by multiplying both numerator and the denominator by 100.

$$0.456=\frac{100}{706}+3.53x$$

Reduce the fraction \frac{100}{706} to lowest terms by extracting and canceling out 2.

$$0.456=\frac{50}{353}+3.53x$$

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

$$\frac{50}{353}+3.53x=0.456$$

Subtract \frac{50}{353} from both sides.

$$3.53x=0.456-\frac{50}{353}$$

Convert decimal number 0.456 to fraction \frac{456}{1000}. Reduce the fraction \frac{456}{1000} to lowest terms by extracting and canceling out 8.

$$3.53x=\frac{57}{125}-\frac{50}{353}$$

Least common multiple of 125 and 353 is 44125. Convert \frac{57}{125} and \frac{50}{353} to fractions with denominator 44125.

$$3.53x=\frac{20121}{44125}-\frac{6250}{44125}$$

Since \frac{20121}{44125} and \frac{6250}{44125} have the same denominator, subtract them by subtracting their numerators.

$$3.53x=\frac{20121-6250}{44125}$$

Subtract 6250 from 20121 to get 13871.

$$3.53x=\frac{13871}{44125}$$

Divide both sides by 3.53.

$$x=\frac{\frac{13871}{44125}}{3.53}$$

Express \frac{\frac{13871}{44125}}{3.53} as a single fraction.

$$x=\frac{13871}{44125\times 3.53}$$

Multiply 44125 and 3.53 to get 155761.25.

$$x=\frac{13871}{155761.25}$$

Expand \frac{13871}{155761.25} by multiplying both numerator and the denominator by 100.

$$x=\frac{1387100}{15576125}$$

Reduce the fraction \frac{1387100}{15576125} to lowest terms by extracting and canceling out 25.

$$x=\frac{55484}{623045}$$