Solve -4(1.75+x)=18.5

$$- 4 ( 1.75 + x ) = 18.5$$

Solve for x

$$x=-6.375$$

Steps for Solving Linear Equation

Divide both sides by -4.

$$1.75+x=\frac{18.5}{-4}$$

Expand \frac{18.5}{-4} by multiplying both numerator and the denominator by 10.

$$1.75+x=\frac{185}{-40}$$

Reduce the fraction \frac{185}{-40} to lowest terms by extracting and canceling out 5.

$$1.75+x=-\frac{37}{8}$$

Subtract 1.75 from both sides.

$$x=-\frac{37}{8}-1.75$$

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.

$$x=-\frac{37}{8}-\frac{7}{4}$$

Least common multiple of 8 and 4 is 8. Convert -\frac{37}{8} and \frac{7}{4} to fractions with denominator 8.

$$x=-\frac{37}{8}-\frac{14}{8}$$

Since -\frac{37}{8} and \frac{14}{8} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{-37-14}{8}$$

Subtract 14 from -37 to get -51.

$$x=-\frac{51}{8}$$