Solve 18(x+6.7)=(x+8.7)20

$$18(x+6.7)=(x+8.7)20$$

Solve for x

$$x=-26.7$$

Steps for Solving Linear Equation

Use the distributive property to multiply 18 by x+6.7.

$$18x+120.6=\left(x+8.7\right)\times 20$$

Use the distributive property to multiply x+8.7 by 20.

$$18x+120.6=20x+174$$

Subtract 20x from both sides.

$$18x+120.6-20x=174$$

Combine 18x and -20x to get -2x.

$$-2x+120.6=174$$

Subtract 120.6 from both sides.

$$-2x=174-120.6$$

Subtract 120.6 from 174 to get 53.4.

$$-2x=53.4$$

Divide both sides by -2.

$$x=\frac{53.4}{-2}$$

Expand \frac{53.4}{-2} by multiplying both numerator and the denominator by 10.

$$x=\frac{534}{-20}$$

Reduce the fraction \frac{534}{-20} to lowest terms by extracting and canceling out 2.

$$x=-\frac{267}{10}$$