Solve x(-14)+528+10/4

$$x ( - 14 ) + 528 + \frac { 10 } { 4 }$$

Evaluate

$$\frac{1061}{2}-14x$$

Solution Steps

Reduce the fraction \frac{10}{4} to lowest terms by extracting and canceling out 2.

$$x\left(-14\right)+528+\frac{5}{2}$$

Convert 528 to fraction \frac{1056}{2}.

$$x\left(-14\right)+\frac{1056}{2}+\frac{5}{2}$$

Since \frac{1056}{2} and \frac{5}{2} have the same denominator, add them by adding their numerators.

$$x\left(-14\right)+\frac{1056+5}{2}$$

Add 1056 and 5 to get 1061.

$$x\left(-14\right)+\frac{1061}{2}$$

Factor

$$\frac{1061-28x}{2}$$

Solution Steps

Factor out \frac{1}{2}.

$$\frac{-28x+1061}{2}$$

Consider -28x+1056+5. Multiply and combine like terms.

$$-28x+1061$$

Rewrite the complete factored expression.

$$\frac{-28x+1061}{2}$$