Solve -4(1.75+x)=18

$$-4(1.75+x)=18$$

Solve for x

$$x=-6.25$$

Steps for Solving Linear Equation

Divide both sides by -4.

$$1.75+x=\frac{18}{-4}$$

Reduce the fraction \frac{18}{-4} to lowest terms by extracting and canceling out 2.

$$1.75+x=-\frac{9}{2}$$

Subtract 1.75 from both sides.

$$x=-\frac{9}{2}-1.75$$

Convert decimal number 1.75 to fraction \frac{175}{100}. Reduce the fraction \frac{175}{100} to lowest terms by extracting and canceling out 25.

$$x=-\frac{9}{2}-\frac{7}{4}$$

Least common multiple of 2 and 4 is 4. Convert -\frac{9}{2} and \frac{7}{4} to fractions with denominator 4.

$$x=-\frac{18}{4}-\frac{7}{4}$$

Since -\frac{18}{4} and \frac{7}{4} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{-18-7}{4}$$

Subtract 7 from -18 to get -25.

$$x=-\frac{25}{4}$$