Solve 12x+[34-23:2+(178x+32)-34]=

$$12 x + [ 34 - 23 : 2 + ( 178 x + 32 ) - 34 ] =$$

Evaluate

$$190x+\frac{41}{2}$$

Solution Steps

Convert 34 to fraction \frac{68}{2}.

$$12x+\frac{68}{2}-\frac{23}{2}+178x+32-34$$

Since \frac{68}{2} and \frac{23}{2} have the same denominator, subtract them by subtracting their numerators.

$$12x+\frac{68-23}{2}+178x+32-34$$

Subtract 23 from 68 to get 45.

$$12x+\frac{45}{2}+178x+32-34$$

Combine 12x and 178x to get 190x.

$$190x+\frac{45}{2}+32-34$$

Convert 32 to fraction \frac{64}{2}.

$$190x+\frac{45}{2}+\frac{64}{2}-34$$

Since \frac{45}{2} and \frac{64}{2} have the same denominator, add them by adding their numerators.

$$190x+\frac{45+64}{2}-34$$

Add 45 and 64 to get 109.

$$190x+\frac{109}{2}-34$$

Convert 34 to fraction \frac{68}{2}.

$$190x+\frac{109}{2}-\frac{68}{2}$$

Since \frac{109}{2} and \frac{68}{2} have the same denominator, subtract them by subtracting their numerators.

$$190x+\frac{109-68}{2}$$

Subtract 68 from 109 to get 41.

$$190x+\frac{41}{2}$$

Factor

$$\frac{380x+41}{2}$$

Solution Steps

Factor out \frac{1}{2}.

$$\frac{380x+41}{2}$$

Consider 24x+68-23+356x+64-68. Multiply and combine like terms.

$$380x+41$$

Rewrite the complete factored expression.

$$\frac{380x+41}{2}$$