Solve 8+x/2+32+16*4=0.25

$$\frac { 8 + x } { 2 + 32 + 16 \times 4 } = 0.25$$

Solve for x

$$x=16.5$$

Steps for Solving Linear Equation

Add 2 and 32 to get 34.

$$\frac{8+x}{34+16\times 4}=0.25$$

Multiply 16 and 4 to get 64.

$$\frac{8+x}{34+64}=0.25$$

Add 34 and 64 to get 98.

$$\frac{8+x}{98}=0.25$$

Divide each term of 8+x by 98 to get \frac{4}{49}+\frac{1}{98}x.

$$\frac{4}{49}+\frac{1}{98}x=0.25$$

Subtract \frac{4}{49} from both sides.

$$\frac{1}{98}x=0.25-\frac{4}{49}$$

Convert decimal number 0.25 to fraction \frac{25}{100}. Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$\frac{1}{98}x=\frac{1}{4}-\frac{4}{49}$$

Least common multiple of 4 and 49 is 196. Convert \frac{1}{4} and \frac{4}{49} to fractions with denominator 196.

$$\frac{1}{98}x=\frac{49}{196}-\frac{16}{196}$$

Since \frac{49}{196} and \frac{16}{196} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{98}x=\frac{49-16}{196}$$

Subtract 16 from 49 to get 33.

$$\frac{1}{98}x=\frac{33}{196}$$

Multiply both sides by 98, the reciprocal of \frac{1}{98}.

$$x=\frac{33}{196}\times 98$$

Express \frac{33}{196}\times 98 as a single fraction.

$$x=\frac{33\times 98}{196}$$

Multiply 33 and 98 to get 3234.

$$x=\frac{3234}{196}$$

Reduce the fraction \frac{3234}{196} to lowest terms by extracting and canceling out 98.

$$x=\frac{33}{2}$$